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. A

    MHB Using a graphing calculator to solve functions

    Consider the function: f(x)= x7-4x5-3x4+4x3+12x2-12/x7 a) Graph the function on [-6,6] by [-6,6]. From your graph, estimate how many x-intercepts the function has and what values they are. b) Now graph the function on [-1.5, -1.4] by [-10-4, 10-4] and on [1.4, 1.5] by [-10-5, 10-5] From your...
  2. F

    Graphing a cubed root function

    Homework Statement Sketch the curve of \sqrt[3]{(x^{2} - 1)^{2}}[/b] Homework Equations The Attempt at a Solution I determined that the domain is all real numbers, the x-int. is ±1, the y-int. is 1, the function is symmetric about the y-axis, there are no asymptotes, and here is where I get...
  3. A

    Graphing the Potential Impact Parameter

    Homework Statement In class we derived the Schwarzschild interior solution (constant density). Examine the behaviour of non-radial null geodesics in this spacetime.Homework Equations \Phi(r)=ln\left(\frac{3\sqrt{1-\frac{2M}{R}}}{2}-\frac{\sqrt{1-\frac{2Mr^2}{R^3}}}{2}\right)...
  4. S

    Algebraic graphing object flight paths

    question: you have the opportunity to shoot down another groups rocket. the path for the other groups rocket can be modeled by h(t) = -3t^2 + 45t . what straight line path must your missile follow if it is to shoot down their rocket at 12.5 second mark? show your answer both graphically and...
  5. K

    Graphing 3D: Techniques to Improve | 65 Characters

    I am really struggling graphing in 3d. here are main problem. I graph out using trace curve, for z=k, x=k, and y=k, each one of them, and I was unable to put them together and generate a 3d picture. For instance, z=xe^(-y). This function is a very weird sheet with two sides tilt in...
  6. B

    Graphing a level surface f(x,y,x)=c

    Homework Statement sketch the graph f(x,y,z)=x2 + (1/4)y2 - z, c=1 The Attempt at a Solution while i don't expect anyone to be able to graph it for me for i think obvious reasons, i have no idea how to interpret any of the information given to even attempt a graph. usually i would try...
  7. 9

    Help with Graphing Equations in the Co-ordinate Plane

    1. Relevant equations 1) Let X = [0,4] ⊂ R and y = f (x) = 2 - x/2. Describe the set { x : f (x) < 1, x ∈ X} and graph the set { (x,y) : y = f (x) < 1, x ∈ X} in the co-ordinate plane. 2) Let X = R2+ \{(0,0)} and y = f (x) = x2 /x1. Graph the set { x : f (x) = 1, x ∈ X} in the co-ordinate...
  8. B

    Programmable Graphing Calculator

    Hi, everyone. I was wondering if you guys know a good *programmable* graphing calculator for Windows XP. I took a look at Microsoft Maths which was kinda fine but it lacked many feature (even though the input was neat). And then I came across GraphCalc (http://www.graphcalc.com/) which was...
  9. veronica1999

    MHB Graphing Ellipses: How to Change Formats

    How do I graph this ellipse? It doesn't seem to be in the right form. (x+2)^2 /5 + 2 (y-1)^2 = 1 I don't know what to do with the 2 in front of the (y-1)^2 Doesn't an ellipse have to be x^2/a^2 + y^2/b^2 = 1
  10. B

    MHB Graphing the sum of functions

    If I graph $x+ \sin x $ it looks like a wavey line. I want a function that looks like a wavey circle. I thought $\sqrt{r^2-x^2}+\sin x$ may work and played around with values for r, no such luck. Does anyone know a function to achieve this?
  11. Z

    Graphing functions and identifying features

    Homework Statement Hi there I need assistance with two graphs that are causing me some problems y=e(^-2x)(-1) and y=ln(x-2)+1 Homework Equations I just need some guidence as to where to start - starting with a table - what range is approriate? The Attempt at a Solution Stuck
  12. Jameson

    MHB Integrating Desmos Graphing Software with MHB

    We are in the process of talking with www.desmos.com about how we can integrate their graphing software on MHB in an easy-to-use way, similar to the Wolfram Widgets (hopefully). In the meantime I recommend their website for graphing 2-d equations. It's very easy to use and in my opinion is...
  13. M

    Graphing 3D Equations: Solving x^2 + z^2 ≤ 9

    I am having difficulty graphing equatioins in 3D for instance... what does the graph in 3-D look like x^2 + z^2 ≤ 9? Apparently its a cylinder extending along the y-axis. My initial guess was it was a 2-D circle with radius 3 on the xz plane. Anyways how should I have known it extended...
  14. O

    Graphing an oblique circular cone.

    I have recently experimented with algorithms for rendering colour gradients. Linear gradients are no problem, but radial gradients have proved to be somewhat more difficult. A radial gradient focused at the centre is simply a matter of measuring the distance of a pixel from the centre and...
  15. B

    Calculator Question: Graphing an Equation for Heat Conduction in a Rod

    Homework Statement For the rod in Problem 10 (already solved this, see below): (a) plot u vs. x for t= 5, 10, 20, 40, 100, and 200 (b) plot u vs. t for x= 10, 20, and 30 (c) how long does it take for the entire rod to cool off to a temp. of no more than 1 degree C? Homework...
  16. V

    Conventionality when Graphing Transformations.

    If you think about graphing an equation like f(x) = x; you think about a line through the origin in two dimensional space, where the horizontal axis represents the domain and the vertical the image. How can you get the input and the output of a transformation in the same picture? In the...
  17. mesa

    Question about graphing a shape on the cartesian coordinate system

    How would you graph a square of any dimension on the cartesian coordinate system?
  18. F

    Graphing a cubed root function

    1. Graph the following function 2. \sqrt[3]{(x^{2}-1)^{2}} 3. I got the first derivative to be \frac{4x}{3\sqrt[3]{x^{2}-1}} but am having trouble with the second derivative to get the concavity. So far I have...
  19. C

    Graphing magnetic field of two magnets in 3d space

    I never figured I would encounter a problem as hard as this. Basically, there are two magnets of varying strength at 2 different x, y, z coordinates. I need to come up with function(s) to graph the field in 3d space. Or, at least find the x,y,z point where the two fields cancel out (if they...
  20. M

    Graphing Magnetic Field and Current

    This is not necessarily a homework problem, but it is a lab for physics with which I am struggling. For the lab, I took an 18 turn coil and charged it with various currents. We put a probe at the center of the coil and measured (using Data Studio) the magnetic field. The magnetic field was given...
  21. R

    Graphing Asymptotes - Sketching f(x)

    Homework Statement Both the following is true for a particular choice of function f(x): For any ε>0 there exists an N>0 such that x>N --> |f(x) - 2| < ε For any ε>0 there exists an N<0 such that x<N --> |f(x)| < ε Sketch the graph of the function that satisfies both of these conditions...
  22. H

    MHB Which graphing calculator to purchase

    I'm considering buying a graphing calculator. Which one is good? Is the Texas Instruments Nspire CX CAS the best one on the market right now? I'm also looking at the HP 50g but I'm not bound to RPN so I'm fine with Algebraic calculation.
  23. K

    Graphing a standard quadratic equation?

    How do we graph a quadratic equation in the form ax^2+bx+c =0?, or an equation like , f(x)(or y)= [(x+b/2a)^2 - (D/4a^2)], where D = b^2 - 4ac? or how do we get a parabolic curve intersecting at its roots(of the quadratic equation) in the x axis?
  24. Femme_physics

    Short question about graphing AC voltage before rectificaiton

    http://img521.imageshack.us/img521/8044/mycircuittt.jpg Considering VP to the ground... I draw only the negative pulse to define it, right?
  25. N

    Calculating Impulse from a Graph: How to Solve the Problem

    Homework Statement [The problem is in the attached image] Homework Equations The Attempt at a Solution My best guess is to break up the graph into two triangles one positive, one negative and then calculate and add the impulse of both of these triangles... Is that what you're...
  26. B

    Excel graphing problems with a Physics lab

    Homework Statement I have two columns of data to graph from a lab we did on spherical lenses. The instructor showed a quick and dirty sketch of what our graph should look like - a decreasing curve. My data plots as an increasing linear graph. If I flip the x-axis data top to bottom I can...
  27. C

    Engineering Graphing Induction motor characteristics

    Homework Statement 5HP, 60 hz, 440Vac, 3 phase induction motor. Graph: 3 Phase Torque vs RPM Current vs RPM Mechanical Power (HP) vs RPM Efficiency vs RPM Power Factor vs RPM Homework Equations I'm having trouble finding equations online relating relating these values. Can...
  28. D

    TI-84 Plus Weird Graphing Problem

    Hello all, I have been having a really strange problem lately on my TI-84. Whenever I graph anything, there is always another graph which appears as a stretched parabola that spans the first and fourth quadrant. It is annoying because I cannot view certain parts of the graph I want to. Anyone...
  29. M

    Graphing of Cosine/Logarithm Function

    I have been given a graph to sketch. The original graph was: T= 20-4cos(pi(x-1)/12) I think I understand how to graph this , but later on they change it to this: T= 20-loge(x) 4cos(pi(x-1)/12) What type of graph is that? I don't even know if it exists, as I can't find anything in the...
  30. C

    1st and 2nd derivative of a cubic function. and graphing

    Hey forum, I know this is an easy one, but it's been a while for me :P thanks for your help! Homework Statement Given the following graph of h(x) a) The intervals where h(x) is increasing and decreasing b) The local maximum and minimum points of h(x) c) The intervals where h(x) is...
  31. N

    Creating a Realistic Cat Drawing Using Functions on a Graphing Calculator

    Homework Statement Uhmm i just started this project where i have to make a picture using functions on a graphing calcutator I am doing a kitty kat so far I am stuck on two things once is making a sideways elipse inside the eye so the cat looks more realistic another is getting rid of the lines...
  32. H

    Help with graphing currents in electrical circuit

    I wrote a program to graph the change of 2 currents in an electrical curcuit over time. Circuit and the graph is on the link below. I have the results but I am not sure about it. Do you think the graph roughly makes sense? I have the equations for di_1/dt and di_2/dt and can write them if the...
  33. I

    Graphing The ΔV between three charged metal electrodes

    Homework Statement Graphing The ΔV between three charged metal electrodes, in regards to x distance Here is the the picture I'm given with the problem. The hint tells me to assume that V=0 when x=0.Homework Equations C=Q/ΔVThe Attempt at a Solution I thought the electrodes looked kinda like a...
  34. T

    How do I graph y = 2 - sin(3x - ∏/5) without a calculator?

    Homework Statement I have to graph this function without a calculator, and I'm not sure how to scale the x axis. y = 2 - sin(3x - ∏/5) Homework Equations y = Asin(Bx + C) Period = 2∏/B Phase Shift = -C/B The Attempt at a Solution I know that the graph will be reflected across the x...
  35. A

    Can someone help with Argand plane graphing and finding the radius?

    I'm having trouble with the various geometrical representation of complex numbers. Can someone provide me link where this is discussed, or maybe an argand plane graphing calculator online?
  36. C

    Calc III - Graphing a Function of Multiple Variables by hand

    I come across questions where I have to match the equation with its contour map and graph. Examples: z = sin(xy) z = sin(x-y) Right now I'm using Wolfram Alpha for all of these, but supposing these appear on an exam... how do I graph it by hand? :confused: For example, for z =...
  37. E

    Graphing a piecewise function with multiple functions

    Homework Statement Suppose f(x) is a piecewise function defined as follows f(x) = 2x^2+2 ---- > x < 1 = 2x^2 - 3x ----- > 1 ≤ x ≤ 2 = 2 - (6/x) ----- > x > 2 Graph f(x) for 0 ≤ x ≤ 3Find the left and right hand limits of f(x) as x approaches 1 and as x approaches...
  38. T

    How to solve 12sinx-1.8cosx=10 without a graphing calculator?

    I tried squaring both sides but can't seem to simplify it. Any ideas on how this can be solved? Thanks! Edit: For those who are interested, I have attached the question that has prompted me to solve this system of equations.
  39. B

    Graphing a function in a Normed linear space

    Folks, Could anyone give me a simple example on how to graph a function S each of the following normed linear spaces i) R^2 with the taxi cab norm ii) R^2 with the sup norm iii) (R^2,|| ||) where x=(x_1,x_2) for some ||x|| is some linear function of x_1 and x_2 In other words, to...
  40. R

    Should I get a graphing calculator just to leave it at home?

    In maths in school we are starting to do a lot of problems involving integral and differential calculus as well as general algebra. The problem is while I can see the correct method of going about obtaining a solution it takes me a long time to get there as the integration and stuff takes up...
  41. X

    Graphing in spherical coordinates

    Homework Statement The question involves a triple integral, but I can figure that out once I know what this looks like visually. It is the graph of ρ = 1 + cos(∅) How exactly would I graph this? Homework Equations x = ρ * sin(∅) * cos(θ) y = \rho * sin(∅) * sin(θ) z = ρ * cos(∅)...
  42. L

    Y=KX^n Graphing and Coefficient

    So there's this graph in chemistry with a curved negative slope shape. (x, y) (0.16, 104.61) (0.26, 39.62) (0.35, 21.86) (0.56, 8.54) (0.70, 5.47) (0.98, 2.79) The equation is y=KX^N 1) What is the value of N for which the graph would be a straight line? 2) What is...
  43. J

    Graphing the superposition of three waves

    Hello, I have no idea how to do this problem! I have solved all my homework problems except this one can someone please help! Suppose a singer singing F# (370 , the fundamental frequency) has one overtone of frequency 740 with half the amplitude of the fundamental and another overtone of...
  44. U

    How can I graph a heat equation with multiple variables in Maple?

    Homework Statement Graph T(x,t) = T1e^(lambda*x)sin(wt-lambda*x) in Maple lambda = -.2 T1 = 10 omega = constant Homework Equations Maybe heat equation ut(x,t) = uxx(x,t) The Attempt at a Solution I'm really unsure on how to graph a multiple variable function/equation in Maple. I...
  45. I

    How can algebra be used to convert an exponential graph into a linear graph?

    URGENT: Basic graphing question I have the equation y=1.234x^(-0.567). First part of the question was the plot a graph for it from points 0.01, 0.1, 1, 10, 100... 10000. I got that part (on excel) It's an exponential graph. Second part says, and here's where I am confused, plot Y=y and...
  46. N

    Graphing (x^2)y + 3y^2 = 5x + 9 or the like?

    Homework Statement Hey everyone. I have a mathematics exam coming up, and I am always used to checking my answers using an alternative method. We have differentiation questions and i normally check them by graphing the equation on my calc and then graphing my calculated differential equation...
  47. H

    Graphing and Data Analysis software?

    Hello everyone, I was wondering what software you all find useful for analyzing data. What I'm looking for needs to have extensive curve fitting abilities as well as error analysis tools, i.e., error bars and what not. I hope this isn't totally vague and you all have a piece of software in...
  48. J

    Y= -2(x+5)^4 A few things about graphing this ? HELP?

    y= -2(x+5)^4 A few things about graphing this ? HELP? I know how to graph most parts of this function except for these few little details that are bugging me HELP? y= -2(x+5)^4 It's a parabola. then you just need to figure out x and y intercepts, i know the y i just figured it out, but how...
  49. S

    Trouble Graphing Multivariable Functions

    So the function I'm working with is: f(x,y) = 1/sqrt(1-x^2-4y^2) First, they want me to find the Domain and Range, which I found to be: D: x^2 + 4y^2 < 1 R: (0,1] Then they want me to sketch level curves and cross sections, then sketch f(x,y) I'm having trouble with the sketching, I...
  50. L

    Velocity & Displacement Graphing

    Homework Statement I just want to know how you determine the acceleration on a velocity vs. time graph and how to determine the velocity on a displacement vs. time graph. Homework Equations The Attempt at a Solution
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