What is Graphing: Definition and 495 Discussions

A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are also programmable and therefore considered to be programmable calculators, allowing the user to create customized programs, typically for scientific, engineering and education applications. Because they have large displays in comparison to standard four-operation handheld calculators, graphing calculators also typically display several lines of text and calculations at the same time.

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  1. B

    Question on graphing in the complex plane

    Okay, I need to graph the following set in the complex plane: M={z\inC:[(1<|z-i|\leq2) and (z\neq2+i)] or [z = 1 + \pii]} I got the last two constraints, but the first one is what's giving me trouble. is z-i just x+yi that is (1,1) on the complex plane lowered by 1? Thanks
  2. M

    Graphing sound waves at the bottom of the ocean

    Homework Statement Ships measure the distance to the ocean bottom with sonar. A pulse of sound waves is aimed at the ocean bottom, then sensitive microphones listen for the echo. The graph shows the delay time as a function of the ship's position as it crosses 60 km of ocean. Draw a...
  3. D

    Graphing Problem: Rearrange to a Straight Line Graph

    Hi, Was wondering if someone could help me out with this simple graphing problem. Its a mass x acceleration graph. I have a constant force but an increasing mass e.g When plotting this graph I end up with a negative curve, as the mass increases, the acceleration decreases. I need to...
  4. M

    Rational Function Graphing

    Homework Statement Y1=(x3+3x2-4)/(x2)Homework Equations Slant Asymptote at y=x+3. (X-1) and (X+2) appear to be intercepts in the back of the book. How do I factor the numerator to get that?The Attempt at a Solution I know this is simple and there is a method to find the zeros of the numerator...
  5. S

    Technicalities when graphing in 3-space

    Background info for technical question: I just started a summer Calculus III course and the introductory topic is graphing in 3-space (just a warning I tend to over think everything). Our assignment was to visualize the graph of Z = X^{2} + y^{2} I plotted points in a table from -3, 3 for...
  6. C

    Calculators Graph Y-Values with TI89 Titanium Graphing Calculator

    Hello,the <Diamond> + F1 menu allows me to plot only Y= graphs. I just want to ask if how do I graph in terms of y? is there anyway or you need to really graph it in terms of x? thank you very much...
  7. S

    Graphing potential & kinetic energy of an oscillating particle

    Graphing potential & kinetic energy of an oscillating particle! 1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x. 2. I...
  8. S

    Graphing Potential and Kinetic Energy of an Oscillating Particle

    1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x. 2. I completed the (b) and (c) part of the problem, but I'm not sure as...
  9. P

    Graphing a Polar Function: Solving for r = 2cosθ

    Homework Statement graph the polar function r=2cos\theta (-\pi/2 \leq \theta \leq \pi/2) sorry that last theta/2 should be pi/2. new to this math text Homework Equations The Attempt at a Solution I graphed the positive part right, I think. it seems to trace a half circle. I...
  10. Nabeshin

    Mathematica Mathematical Graphing question

    Hey, I was wondering if any of you know if it's possible to graph functions in mathematica with respect to a constant instead of a real number. For example, plot the function ax from 1 to 10. Is there any way to get it to plot this and just realize it needs to throw a's on the vertical...
  11. L

    Graphing question with Springs and Energy?

    Let's say there's a lab where one hangs weights off a spring, and graphs the length and weight to find the spring constant. Graphs have the independent variable--weight in this case--on the x axis, and the dependent variable--length--on the y axis. So, by that method, the graph should be...
  12. D

    MATLAB Learn How to Graph 3D in MATLAB

    i am learning MATLAB, but have not yet learned anything do do with graphing, but need a program that can plot x.y.z graphs for my calculus work, can someone please help me plot 3d graphs on MATLAB, for example z=x2+2x+y2-y how can i input x,y,z so that MATLAB will give me the surface...
  13. C

    Simple Harmonic Motion: vertical springs - graphing period^2 & mass

    Homework Statement Using experimental values for mass and period of oscillations, I'm trying to graph period^{2} (y-axis) against mass (x-axis) to get a gradient = 4(pi^{2})/k so I can find k (spring constant). The problem is that when I use each pair of results in the equation below, I...
  14. T

    Free Math Programs for Writing Formulas & Graphing: Project Solutions

    Does ne1 know of any free math programs that write formulas and make graphs? I need one for a project I'm working on.
  15. R

    Two cos/sin wave graphing question

    Homework Statement The Attempt at a Solution For #3 I need to finde the cos graph equation here's what I got: shift to the right 2, Amplitude = 3, b = π/2 equation: y=3cosπ/2(x-2) I'm just not sure if i have it in the right format or if I'm even right Attempt for #4...
  16. D

    Graphing a differential equation in mathematica?

    Homework Statement I'm trying to graph a first order differential equation in Mathematica but the graph doesn't seem right when compared to my txt book. I'm using NDSolve. The first order diff-eq is... dy/dt' = -cy-sin(x)+fcos(z) where z = omega t' c = 0.05 f = 0.4 omega = 0.7...
  17. A

    Graphing with Mathematica and Parameters

    Homework Statement Second part of Part C is: Use mathematica to draw graphs for a few values of the parameters. [ Consider the cases b > 0 and b< 0] Homework Equations I think you use the answer to Part A The Attempt at a Solution Not sure how to graph with mathematica...
  18. C

    Graphing Hydrogen atom wave functions

    Homework Statement I have a series of functions, states, and levels that I'm suppose to graph using excel. Only problem is I'm not even sure of what to do. I'm completely confused/lost. Homework Equations n=1 l=0 R(r)=\frac{2}{a_0^{3/2}}e^{-r/a_0} n=2 l=0...
  19. D

    Should I use 2D or 3D graphs for Implicit Functions?

    I've began learning some Implicit Functions but graphing them seems to be a problem. I'm using MathGV for graphing. Should I choose 2D or 3D graphs? It's not graphing with 2D, and solving for x or y would be an even bigger problem. For instance, 3(x^2+y^2)^2 = 100xy will graph in 3D but is...
  20. P

    Manually Graphing Trigonometric Functions - Turning Points, Extrema

    Homework Statement Two curves y_1=(\frac{20}{x^2})\sin(\frac{10}{x}) and y_2=5\cos x intersect in three points in the interval (1,3). Draw the graphs, compute the minimum and maximum points as well as the turning points and show the points of intersection. 2. The attempt at a...
  21. J

    Graphing Non-f(x) Functions on TI-89 Calculator

    i was wondering if i could graph something like: 2x + 3y = 7 or 3y^2 + 2x^2 -3x +6 = 0 where the function doesn't always start with plain f(x). is it possible to do this on ti 89?
  22. F

    Easy graphing with parabolas seems impossible to defeat

    I went to a normal and super easy norwegian school. Then, I decided it was too easy, and I went over to the IB system (10th grade) Everything is fine beside the math witch is impossible. To make matters worse I have been sick a lot, making followng the current unit impossible. considering the...
  23. E

    Graphing a Circle: Find Center, Radius & Intercepts

    Consider x^2 + y^2 – x + 2y + 1 = 0. (a) Find the coordinates of the center and the length of the radius. (b) Determine the coordinates of the intercepts. (c) Graph the circle. I'm really lost on this one. I tried plugging in numbers but I seriously doubt that's how I'm supposed to do...
  24. K

    Complex Analysis Graphing Question

    Homework Statement I want to show z_{1}+(z_{2}+z_{3})=(z_{1}+z_{2})+z_{3} with the use of a graph. Homework Equations The Attempt at a Solution I am just cluless on how to graph. I know z=x+iy where the real part is on the x-axis and the imaginary part is on the y axis.
  25. P

    Graphing Tangents to a Quadratic Curve

    Homework Statement Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together Homework Equations y=3-x^2 (-1,2) The Attempt at a Solution slope = f(x + h) + f(x) / h f(-1 + h) + 2 / h 3- (-x + h)^2 + 2 / h 3 - 1 + 2h + H^2 + 2...
  26. C

    Graphing a exponential problem

    Homework Statement The problem asks to graph tangent lines to the given function y = (ln(x)/x, and gives the points (1,0) and (e, 1/e) Homework Equations The Attempt at a Solution I got the answer by taking the derivative and finding the slope, and at the point (e,1/e) the...
  27. C

    Another logarithmic diff. problem and graphing question

    Homework Statement Find a formula for f^(n)(x) if f(x) = ln(x-1) Homework Equations The Attempt at a Solution Not completely sure what the problem is asking for, any suggestions? Also, another quick question. If I am trying to graph a problem using a ti-89 that shows two tangent...
  28. N

    Radioactive Decay and Linear Graphing

    Homework Statement This particular exercise has no "problem statement" but I'll explain it in detail using all the information provided to me. The class was presented with a table of data containing values for time (in days) and activity (in cts/sec) for a radioactive isotope Iodine-131...
  29. T

    Graphing the image of a complex number

    Homework Statement sketch y=2 under the image w=z^(2) Homework Equations z=x+iy The Attempt at a Solution z=x+(1)i=x+i {y=1 and x can be anything} w=z^(2)=(x+i)^(2)=x^2+2xi-1 after regrouping, w=(x^2-1)+(2x)i and then I consider x^2-1 to be the real part and 2x to...
  30. S

    Graphing an Equation with a Complex Term

    1. If you`re given an equation such as w(t) = (1+t)e^jt how would I go about graphing it. For different values of t i get a different complex number but how do I represent that complex number on a w(t), (t) axis?
  31. T

    Graphing a complex inequality

    Homework Statement Graph the inequality: |z-1|<|z| where z=x+iy {i is the imaginary number: (-1)^.5} Homework Equations for complex #'s z and w, |w+z|<or=|w|+|z| |z-w|>or=|z|-|w| The Attempt at a Solution |z|-|1|<or=|z-1|<|z| { if we consider 1 to be complex i.e...
  32. W

    How can I fix round-off errors in Excel when using trendline equations?

    Hi, I am attempting to find an equation to fit a curve that I have plotted in Excel. I use the trendline function and get an equation but when i place that formula in excel and with the values they are different. I have attached the spreadsheet to show you. The yellow columns are my original...
  33. I

    Calculators Graphing Calculator: HP 50g vs TI-89 Titanium

    I am in the first year in the cource of civil engineering in the university and i am considering buying a graph calculator and i am between hp 50g and texas instruments ti-89 titanium.every one who can help is welcome.thank you in advance.
  34. J

    Answering SAT Graphing Question: Finding Values of x from 0 to 12

    The Question: The figure above shows a portion of the graph of the function f. If f(x+5) = f(x) for all values of x, then f(x) = 0 for how many different values of x between 0 and 12? My attempt: I have uploaded the picture of the graph so you can see what it looks like, but anyways I...
  35. D

    Graph Conics: Center, Verticies, Foci, Asymptote, Directrix

    Homework Statement Graph the following. Include center, verticies, foci, asymptote, and directrix as appropriate. Homework Equations x^2 + 8y - 2x = 7 The Attempt at a Solution So far I have: V = (1, -7/8) P = -2 X = -1 I have no clue where to go from here, or if I'm...
  36. C

    Graphing Resistance vs. Bandwidth, why wouldn't go throught the origin?

    I am using Excel and plotting a line of best fit for Resistance vs. Bandwidth. I used the LINEST function to get my values, and it shows that it would cross the y-intercept at around 288 Hz. I am just wondering why when using resistance vs bandwidth it would never cross at the origin. That is...
  37. P

    Graphing Wavelength vs Inverse freq. or Period

    According to our lab manual, the graph of Wavelength vs Period : the slope should be the speed of sound. Well, I have a negative slope of -32.2 which is ridiculous, but I can't find out what I'm doing wrong. We had 5 tuning forks , say for instance, 512Hz...the inverse 1/f = 1/512= 0.00195 , I...
  38. jinksys

    Graphing Terminal Velocity using Euler's Method

    Suppose an object of 20kg is shot upward with an initial velocity of 20m/s. The drag coefficient I've chosen is 0.25, and gravity is 9.8m/s. I'm trying to calculate the terminal velocity using Euler's Method (using a C prog), and then graph the data using openoffice. I know I am converging to...
  39. T

    Calculators What is a good graphing calculator?

    Something that will take me through AP Calc to the most crazy Physics or Math work that can be done... I don't use a calculator as a crutch, but I would like something that I can fall back on for common equations or problems. If it simplifies radicals I will be overjoyed.
  40. N

    3-D cylindrical equation graphing

    Homework Statement Represent the surface in space, identify the surface- r=2cos(theta) Homework Equations Uhh... The Attempt at a Solution My main thing here is this... how does r tell me anything about the graph of the function in a 3-D plane? i see that...
  41. H

    Graphing an equation on calculator question

    How do I graph an inverse parabola on a calculator? As in a normal parabola but opening to the left or right. Which means its X= instead of Y=. If this is impossible(I know it is possible to use two separate equations), is there any other way to add more "Y="s on the graphing calculator...
  42. P

    Graphing: Determine Values

    1. to determine values i have: 1. x^2 2. Square root of (x) 3. l/x what does l stand for in number 3
  43. M

    Graphing Motion problem (motion in a straight line)

    Homework Statement Karen lives 500 m from school travels to school in straight line. Starts out at time zero at rest and accelereates towards school with an acceleration of 2.0 m/s2 for 10 seconds. she then travels at constant speed for 5 seconds. she then slams on the brakes, coming to...
  44. I

    Help graphing a P-V diagram by hand for physical chemistry

    Homework Statement A,B,a are constants. sketch two or more isotherms on a P-V diagram. V needs to be the independent variable. Mark clearly the intercepts and asymptotes. One graph for a p -->0 and one graph for p--> infinity. Homework Equations V=Vo (1-AP/(B+P))(1+ aT) y=mx+b The...
  45. E

    Graphing power p(t) with voltage v(t) and current i(t) given?

    I'm having a little trouble relating the graphs of voltage, current, and power together. I am given graphs of v(t) and i(t) and I need to sketch p(t). I know p(t) is (v*i), so do I need to integrate the slopes of the values for v(t) and i(t) under a definite integral (to get the discrete...
  46. B

    Complex plane graphing program?

    anyone no of a free downloadable program the graphs the complex plane. its just I am not to bright but i have to do this assingment on conformal mapping and i can't rearange these equations correctly into rcisthetre form, i like doing things as exact as i can make them and if i did it by hand i...
  47. C

    Graphing vectors with a calculator or apple computer

    why is it so difficult to graph a 3 dimensional vector on any bloody calculator? I can't even seem to find the right format to graph a x-y-z vector on my new imac grapher software. does anybody know how to graph a vector on a cartesian coordinate system using a texas instrument calculator...
  48. R

    MATLAB Graphing in MATLAB: Suitable Domain for f & g

    Hi! For those of you who know how to use Matlab, I want to graph two functions f = \frac{(2+x)}{(x-2)(x+1)} and g = \frac{1}{\sqrt{(2x^2 - 1)(x^2-1)}} On my instructions sheet it says; draw f and g on the same grid on a "suitable" domain. The domain of f is all the real numbers except...
  49. rocomath

    Looking for graphing software, right place?

    I remember using this program called "Carbi-Geometry" or at least I think that was the name. I googled for it today and it's not free "anymore" unless I'm confusing the name. I want to be able to graph not only triangles, but graphs as well, and I need to be able to label things. Thanks!
  50. J

    Equation for Equidistant Points Between Two Given Points

    Homework Statement Find an equation of the set of all points equidistant from the points A(-1,5,3) and B(6,2,-2). Describe the set Homework Equations dot product cross product The Attempt at a Solution the book found the line: 14x - 6y - 10z = 9 which is perpendicular and i guess...
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