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. J

    Graphing sin and cos functions

    Homework Statement plot x(t) = 10cos((pi*t)-(pi/4)) Homework Equations pi/4 is the shift to the right 10 is the amplitude of the graph pi is the radian frequency The Attempt at a Solution so i got the amplitude and shift to the right by pi/4 part but as for the radian...
  2. S

    Can You Graph Stop and Go Traffic in Rush Hour?

    In heavy rush-hour traffic you drive in a straight line at 12 for 1.5 minutes, then you have to stop for 3.5 minutes, and finally you drive at 15 for another 2.5 minutes. How would u graph this
  3. Q

    Modeling a Triangular Wave Pulse on a Taut String

    Homework Statement A triangular wave pulse on a taut string travels in the positive x-direction with speed v. The tension in the string is F, and the linear mass density of the string is u. At t = 0, the shape of the pulse is given by: y(x,0) = 0 if x < -L h(L + x)/L...
  4. T

    How to Graph a Parabolic Equation Without a Calculator?

    What's the process that needs to take place to be able to graph the following equation (not-using a graphing calculator): x2 + 12xy + 36y2 + 2x - 3y - 9 = 0 I know to use the B2 - 4AC formula to identify the equation as being parabolic, though I don't understand the formula... Looking at...
  5. S

    Graphing current vs. time in an RL circut

    Homework Statement Graph I(1) and I(2) vs. time. See attachment for illustration. Homework Equations V = IR Back EMF = -L * dI/dt The Attempt at a Solution I realize that an inductor is essentially the opposite of a capacitor when it comes to current and voltage: that is, the...
  6. G

    Help Graphing Piece Wise Function Please

    Homework Statement Having some trouble graphing this y = 3 - x for x less then or equal to 1 y = 2x for x greater than one how do I indicate that for the first part (1, 2) there would be a closed point at that cordinate but for the second part an open point at those same exact...
  7. T

    Graphing a Rotated Conic on a Graphing Calculator

    Homework Statement Use a graphing utility to graph the conic. Determine the angle through which the axis are rotated. x^2+xy+y^2=10 Homework Equations \cot2\theta=\frac{A-C}{B} x=x'\cos\theta-y'\sin\theta y=x'\sin\theta+y'\cos\theta The Attempt at a Solution I can find the angle of rotation...
  8. J

    Mathematica Plotting 2D Graph in Mathematica: y>=340 & y<340

    If someone could supply the code to plot this graph in Mathematica would be awesome. Would also be best if it checked the y's at units of t {0,1,2,3...,inf} y >= 340 Plot[100 (t) - 340 (t/2), {t, 0, 20}] y< 340 Plot[100 (t) - 115 (t/2) , {t, 0, 20}]
  9. F

    Graphing (Precalculus) Homework: Transforming Functions for y=(x-3)^2 and y=x^n

    Homework Statement Sketch the graph of the function y=(x-3)^2 by transforming the graph of an appropriate function of the form y=x^n Homework Equations y=(x-3)^2, y=x^n The Attempt at a Solution Precisely speaking, I am just totally confused with what the question is asking. i...
  10. F

    Calculators Is this Graphing Calculator good?

    My eyes are on this https://www.amazon.com/gp/product/B000GTPRPS/?tag=pfamazon01-20, Do you think it is good?
  11. F

    How can I graph sqrt(x^2 + 1) without using derivatives?

    Hi all, I have recently begun to try and graph most of the functions I see by hand without resorting to the use of my graphing calculator. However, I am having a problem trying to begin to graph f(x) = \sqrt{x^{2} + 1}. The problem is all I really know is that f(0) = 1. Trying to solve for...
  12. I

    Graphing a vertical line on graphing utility

    Is it possible to graph a vertical line such as X=2 on a graphing calculator? How would one graph a vertical line on the graphing calculator?
  13. A

    Mathematica Mathematica graphing problem - twisted plane

    Hi folks, I'm trying to graph something in Mathematica, and honestly don't know where to start. Imagine you have a rectangle in the x,z plane of a 3D space. Now, twist one end of the rectange so it's parallel to the y axis. The opposite end remains parallel to the x axis. Between the two...
  14. 1

    Kinetic and Potential Energy of Baseball Graphing Question

    A baseball is thrown directly upward at time t=0 and is caught again at time t=5\;\rm s. Assume that air resistance is so small that it can be ignored and that the zero point of gravitational potential energy is located at the position at which the ball leaves the thrower's hand. I need to...
  15. J

    How Can I Graph Rational Functions More Systematically?

    Ok so, This summer I will be taking a Pre-calc/trig course intensive, to get ready to take calculus in the fall, to start up my track for physics. I got a Pre Calculus Workbook For Dummies and I have to say so far I'm not too pleased. I have already found a bunch of typos, and when there...
  16. D

    Matlab: Graphing Heat transfer

    Homework Statement I've been given a Heat transfer problem, which I must solve in Matlab. The code should output the results and a graph of the temperature variation within the wall. Also the code needs to be able to run and output these results without any further user...
  17. G

    Graphing Frequency Spectrum of Signal Over Time

    I am trying to graph the frequency spectrum of a signal over time. To do this, for each frequency I use a filter defined by the following equation: y_n = Ae^{i\omega_0}y_{n-1} + x_n This has a frequency response of \frac 1...
  18. R

    Calculators Which graphing calculator to buy? approved for the SAT, ACT, AP

    I'm currently taking a high-school pre-calculus class and next year I'm going to be taking AP Calculus and Physics I. I plan to major in Physics in college and I'm looking for a calculator that will get me through all of that. I need one that's approved for the SAT, ACT, AP, and is powerful...
  19. A

    Graphing Surfaces with Non-Linear Equations: What Are My Options?

    Im trying to check my answers to a problem, and in the past I've used a 3d grapher to graph functions like f(x,y) = whatever. but now i need to find a tangent plane to a surface at a point. the surface is: x2y+y2z-z2x=1but i don't know how to go about graphing something expressed that...
  20. A

    Graphing Parabolas: Finding 3 Good Points

    Hey guys what's up? I am new to this forum, so I am sorry if I posted in the wrong area.. Anyways, I have a question on Parabolas. I know how to find the Vertex, Axis of Symmetry, X,Y Int. and so on, but I am having trouble graphing it. My teacher said I need to find three good points to...
  21. E

    Graphing Parabolas: Determine Direction, Vertex, and Intercepts | Homework Help

    Homework Statement For problems 1 and 2 determine if the quadratic opens up or down. Find the vertex. Find any intercepts and use these things to graph the quadratic equation. Homework Equations 1. y=-3x^2+12x-9 2. y=2x^2+3x+2 The Attempt at a Solution For number 1: ok well...
  22. D

    Question about graphing L(x,y) against f(x,y)

    The question I'm stuck on is this: Let f(x,y) = (x+1)^2 + y^2 I'm asked to find the partial derivatives and then evaluate them at (1,2). From there, find L(x,y), the linear approximation to f(x,y) at (1,2). That part I'm ok with. I got the following: f_x(x,y) = 2(x+1) f_y(x,y) = 2y...
  23. S

    Graphing Kinetic Energy over time

    If an object is in freefall (or in my case traveling down a hill without friction) then what function could you use to calculate the kinetic energy gain over time? I have attempted to use equations of motion and substitute them into the kinetic energy equation: KE = 1/2 mv^2 KE = 1/2...
  24. S

    Graphing Techniques Homework Help for College Algebra Test

    Homework Statement I am in College Algebra. We are going over Graphing Techniques. I'm pretty sure I understand it, but my teacher is confusing me (and barely speaks English, so it's tough asking questions). Anyways, the problem given is . . . f(x) = (x-1)3 +2 and we are supposed to...
  25. S

    Excel/MINITAB graphing - scaling the x axis

    I'm trying to make a bar graph from data which were taken at irregular intervals over 100m. I want the x-axis to be scaled instead of showing each data point one after another. (i.e. I'm coming out with 1-4-5 when I want 1-----4-5). I hope this makes sense - I'm not sure of the proper...
  26. T

    Rotating Coordinates by 45 Degrees: A Formula for Graphing Help

    hi, can someone please help me with this situation. i have this object. and i have drawn an oval, the horizontal, and vertical line. y=145 x=203 when degree = 0 how would i draw the vertial/horizontal line how if it is 45 degree different?
  27. 1

    Graphing Function f(x)= (x-1)^3(x+1)^2(x+3): X and Y Intercepts & Helpful Tips

    Homework Statement Graph the function f(x)= (x-1)^3(x+1)^2(x+3) and show any x and y intercepts I don't understand how to determine the y values to correctly draw the graph. Help? Homework Equations The Attempt at a Solution x=1 is a zero 3 times x=-1 is a zero 2 times x=-3 is...
  28. P

    Graphing functions of two complex variables.

    Hello, I have come across this problem in my studies where I need to try to come up with a graph of a function involving two complex numbers. I have been trying to figure this out for a while now, but I am not sure how to do it. Is there any way to do this type of thing by hand or in Maple...
  29. P

    Graphing a vector with component angles?

    At the end of a problem (I'm sure I did all the math correctly, that's not an issue) I'm supposed to graph the corresponding resultant vector. However, along with the magnitude of the vector, the angles given are in component form: θx, θy, θz. I've never encountered this before, and although it...
  30. S

    Antiderivative graphing question - help

    Homework Statement http://img64.imageshack.us/img64/5430/80433637.jpg Homework Equations The Attempt at a Solution for a, would it be local.max: x=7.7 and local.min: x=4.8 ? and for b, abs.max: x=11 and abs.min: x=2 ? im not sure if i did it right but looks like this isn't...
  31. L

    Calculators What do you think about this graphing calculator?

    https://www.amazon.com/dp/B0000DJENZ/?tag=pfamazon01-20
  32. W

    Calculators Ti 89 Graphing Help: Fixing "Not an Algebraic Expression" Error

    So I have a project due tomorrow and I really need to use a caculator and Mine won't work right. When insert -1x/(x<o)/(x>-1) It saids its not an algebraic expression how do I fix that. I try it with an ti 84 and it worked.
  33. P

    Graphing conves lense relationships to find focal lenght with slope

    Homework Statement I need to find the relationship between object-lens distance and image-lens distance for a lense(converging) but cannot graph the relationship in a way that the focal length is the slope for the graph Homework Equations 1/u + 1/v = 1/f where u= object lense distance...
  34. O

    Graphing complex function

    As you know to graph a complex function we need four dimensional system,but i encountered with some graphs of complex functions on polar coordinate systems which called "colour domain". Can somebody explain me what is the colour domain method and how to graph a complex function on a polar...
  35. I

    Graphing implicit/3d/whatever (multiple plots) in maple/other software

    how would I graph this? I'm getting killed by the boundaries on these triple integrals and trying to visualize these graphs without a calculator or any sort of help. for example, how would you get the boundaries from this problem with a graphing software such as maple? ::::problem...
  36. Q

    Understanding Y² Graphing and Confusing Points on the X-Axis

    Hi everyone. I am familiar with the graphing of y² graph which is essentially sqrt of the graph then reflected in the x-axis. However, I am confused at the points where the y= graph cuts the x-axis. According to differentiation, the gradient of the sqrt y graph should have a sqrt y at the...
  37. L

    Graphing Implicit Function: Find HTL & VTL

    Graphing Implicit Function Homework Statement Graph (x^2+Y^2)^2=4xy A)Find Y' B)Find all points that have vertical tangent lines. C)Find all points that have horizontal tangent lines. The Attempt at a Solution I feel like I'm going nuts on this problem, y' is...
  38. N

    Graphing trig functions without calculus

    Homework Statement I'm in a first-year analysis course, and this question was given by my prof. as practice for her midterm test. "Sketch the graph of the function \begin{equation*} f(x) = \text{sin} 2x + \sqrt{3} \text{cos} 2x \end{equation*} Determine the amplitude, the frequency and...
  39. N

    Graphing a Piecewise Function: Is it Continuous and Differential?

    Homework Statement This is the last of 10 calculus problems I have to do this week (besides the one I have half finished) 7/8 so far :). This problem asks if the function is continuous and differential. I don't know how to graph this though. Can somebody help explain, I only need to know how...
  40. D

    Quck question about graphing a parametric equation

    Homework Statement Graph the parametric equation. t is greater than or equal to zero and t is less than or equal to 2 pi. x=sint y=cost Homework Equations None The Attempt at a Solution Assuming that I don't have a calculator, how would I graph this? I know that...
  41. Y

    Model Rocket Flight: Graphing Acceleration, Velocity, and Height

    A model rocket is launched with an upward acceleration, after t seconds it runs out of fuel at x height. Sketch the a vs. t, v vs. t, and position vs. t graphs for the rocket from the time of launch until the moment it reaches max height. -I know that after the rocket runs out of fuel it will...
  42. S

    Graphing a Basketball's Height Using Equations | Homework Help

    Homework Statement A basketball is thrown into the air, and it's height is determined by h = 3/4t(20-t) where t = time. Homework Equations What is the greatest height the ball reaches The Attempt at a Solution Ok so i tried to graph this out but stuffed up, a bit hard to show...
  43. Y

    Graphing Question: x<1, 1≤x≤2, x>2

    The function is.. f(x) = 2x-2 if x<1 x^2 if 1 <= x <= 2 7-x if x>2 I made a table of values and graphed the points. The problem is my prof said something about not all of the points being connected by straight lines, some being connected by curves. I was wondering why...
  44. B

    Get Expert Graphing Calculator Help for Polar Mode Equations

    I am trying to graph: r²= sinθ in Polar mode.
  45. J

    Graphing complex functions

    I tried graphing the following equation on Mathematica online: http://www.wolframalpha.com/input/?i=%28z*z*%29%2B%281%2Bi%29z%2B%28%281-i%29z*%29%2B1%3D0 It gives complex solutions -2+i and i. I don't understand why it lists these as the only complex solutions (why is that?). Yet it...
  46. U

    Graphing question: Reversal of x and y axis & effect on slope and y-intercept

    Homework Statement How does the slope and y-intercept change if you reverse the x and y-axis of a linear graph. Will the graph still be linear? The original y=mx+b format followed the physics equation: V^2 = 2a(d) + Vi^2 Therefore, when y was "V^2" while x was "d", the y-intercept was Vi^2...
  47. J

    Complex analysis - graphing in complex plane

    Homework Statement Graph the following in the complex plane {zϵC: (6+i)z + (6-i)zbar + 5 = 0} Homework Equations z=x+iy zbar=x-iy The Attempt at a Solution Substituting the equations gives 2(6x-y) + 5 = 0 => y = 6x + (5/2) But that's a line in R^2. The imaginary parts...
  48. E

    Variable-only graphing question

    Homework Statement If F=Kx^n, where K>0 and n>1, sketch the graphs of F vs. x, F vs. x^n, and logF vs. logx. What information is obtained from each graph? Be specific. Homework Equations n/a The Attempt at a Solution No idea where to start with this one, as it's stumping me...
  49. A

    Mathematica Graphing equation in Mathematica help

    Hi, I am trying to graph (x+(1/√(1+cos(x)²))) in mathematica, and i used Plot[x + (1/(sqrt (1 + cos (x)^2))), {x, 0, 9}] but I am not getting an output graph. Any ideas?! Plot[x + 1/Sqrt[1 + Cos x^2], {x, 0, 9}, PlotRange -> {-10, 10}] I found few errors, and above is what I got, it's a...
  50. U

    Calculators Reccomend a good Graphing Calculator

    Well, i felt ambitious and signed up for Honors Precalculus. I think i will be fine considering i love math and physics, but i need a good graphing calculator. Around $100-150 if possible. And it would be nice if it had normal physics and math constants in it (since i am also taking physics next...
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