Questions regarding the plotting or graphing of functions. Questions about graphs with vertices and edges should use the (graph-theory) tag instead.

learn more… | top users | synonyms (2)

0
votes
1answer
14 views

Showing complex transformations in a fluid way

It says it all in the title: I need to show how simple complex transformations (translations and dilations, or even both) affect shapes on the complex plane in a "fluid" way – that is, creating some ...
1
vote
1answer
36 views

The following graph makes no sense

I have been asked to sketch the graph, from x = −5 to x = 5 of the odd function, $f(x)$, defined in the interval 0 < x < 5 by the formula $$f(x) ≡ \cos( πx/ 10)$$ The results I get are as ...
0
votes
2answers
25 views

Smallest distance between parabola and line

Probably a noobish question, but I've got this problem: Two graphs: $y=0.5x^2$ and $y=-2+x$. A vertical lines goes through these graphs in points A and B. What's the shortest possible distance ...
-1
votes
1answer
14 views

A question about the real line and the Dirichlet function.

Though the graph of the Dirichlet function is non-drawable, I think if we have to draw it in some informal way then it will be two complete lines (instead of isolated points). Here's my reasoning: ...
3
votes
2answers
33 views

Parametric version of a simple equation

I have a simple relation that I need to plot in a plane. I could do it, but I believe that I don't get the best way. A plane curve is defined implicitely by the following equation : ...
-1
votes
0answers
6 views

Graph a 3d function in autocad…

This question is related to math software. I use autocad quite a bit to create images for my papers. Suppose I have a drawn an object in the 2D plane, and I want to pull it into the 3rd dimension ...
0
votes
0answers
19 views

Modeling simple linear equations

This should be pretty simple but I'm blanking on this. I need to model (graph) how path 1 becomes equally as efficient as path 2 as the distance of path 2 increases. distance of path 1 (from A to B) ...
0
votes
2answers
64 views

What would the equation to this graph look like?

I have an equation built from obscure (step) functions, which I'd like to approximate in standard mathematical functions; it is quite lengthy and produces an odd geometric shape, which I cannot ...
0
votes
5answers
61 views

Solving equations.

How would you solve these equations and show that they do not intersect each other? $$x^2+y^2=2x-2y$$ $$x^2+y^2=4(x^2+y^2)^{1/2} +y$$ It's isolating a term which I am struggling with. General ...
4
votes
1answer
30 views

Length of wire needed to graph a function

Question: $$S = {(x,y): \left|||x|-2|-1\right| + \left|||y|-2|-1\right| = 1}$$ If S is made out of wire, find the length of the wire required. I have no clue as to where to begin this ...
0
votes
0answers
26 views

Understanding graph coloring

I'm trying to understand the graph coloring algorithm. Suppose I have the following lines: cat grey dog Each of those words is a nodes. cat and ...
1
vote
0answers
27 views

Graph of a higher-order function

When we deal with functions which work on numbers, we can graph them easily: Just take each of its possible input values and find its corresponding point on one axis, then go straight up in its ...
1
vote
2answers
57 views

How to plot this graph $y^3=x^2$

I was solving a problem related to area under the integral. When I got a question with the curve $y^3=x^2$. Now this might seem trivial with plotting calculator and for some without plotting ...
0
votes
4answers
23 views

Check if a given coordinate lies in path of a ray (coordinate geometry)

As shown in the image I have two known coordinate pair A and B and few other known coordinate pairs (RED blob) on the graph. I need to know if any of the other given coordinates fall in line of the ...
0
votes
1answer
7 views

How would you plot this equation (in the complex plane)?

So I am currently looking at how to calculate the integral of a complex function $f(z)$ within a contour $\gamma$. That is, an integral of the form $$ \int_{\gamma} f(z) \; dz $$ Where the contour is ...
0
votes
0answers
24 views

Finding best fit curve via 2nd order polynomial

I've set of data points and I need to best fit curve by using $y = a + bx + cx^2$. I know the method of finding $a,b$ and $c$. After getting $a,b,c$; How to use that equation to determine the points ...
2
votes
0answers
26 views

Graphing/visualizing a complex parametric plot without using mathematica

I am trying to visualize the parametric plot in $\mathbb{C}$ of the curve $\gamma$ defined for $t\in[-\infty,\infty]$ as $$\gamma(t)=\exp\left(-t^{2}+\frac{t}{\sqrt{1+t^2}}i\right).$$ I think I find ...
6
votes
3answers
479 views

Absolute value graph sketching

Where would you start if you were told to plot: $$||x-1|-1|$$ I looked at just $f(x) = |x-1|$ and noticed that the two equations are: $\pm (x-1)$ for $x \geq 1$ and $x < 1$. Extrapolating then: ...
2
votes
2answers
25 views

Converting specific equations from Polar to Cartesian

These different equations are given in Polar and my goal is to plot them in Cartesian coordinate system: $r = \cos(4φ)$ $ φ = \dfrac r {r-1}$, $r > 1$ I am aware of: $x = r \cos( φ )$ $y = r ...
0
votes
0answers
16 views

A quick question on graphing Heaviside functions

I'm trying to graph the function $f(t) = \sin(2(t-\pi))\mathcal{U}(t-\pi)$, where $\mathcal{U}$ is the Heaviside function defined by: $\mathcal{U}(t-a) = \begin{cases} 0 &\mbox{} t \lt a \\ 1 ...
0
votes
1answer
31 views

Can someone draw a plot for this function?

Can someone draw a plot for this function? $ f(x) = \begin{cases} \sum_{i=2}^{x}\left(\frac{\prod_{k=1}^{i-1}\left(2k-1\right)\,\cdot\,-\left(-\frac{1}{2}\right)^{i}}{i!}\right) + \frac{3}{2} & x ...
0
votes
0answers
6 views

How to draw a graph to compare two algorithms based on some parameters?

If I have 2 algorithms for CPU scheduling which calculates average waiting and average Turn-around time depending on burst time and arrival time of incoming processes , so how to compare the ...
12
votes
7answers
334 views

How do I transpose an ellipse function to stretch the ellipse into curved space?

I'm working on an engineering project, using CAD software. I can write simple parametric functions to draw an ellipse, with $\theta$ ranging from $0$ to $2\pi$ ...
0
votes
3answers
28 views

Vertex of the graph of a quadratic polynomial

This is what a website states: Before graphing a quadratic function we rearrange the equation, from this: $f(x) = ax^2 + bx + c$ To this: $f(x) = a(x-h)^2 + k$ Where: $h = -b/2a$ $k = ...
0
votes
0answers
17 views

Sketching surface areas

I have always been hopeless at sketching graphs in maths and after first year I hoped I'd never see another one again... apparently I was wrong. I have a question which says: Let $\ S = {(r cos θ, r ...
0
votes
2answers
23 views

Represent graphically the set of complex numbers that verifies $|z| = \pi + arg(z)$

This is a problem on my textbook on complex analysis. Represent graphically the set of complex numbers that verifies the equality: $|z| = \pi + arg(z)$ where arg is the principal value of the ...
22
votes
11answers
4k views

What equation produces this curve?

I'm working on an engineering project, and I'd like to be able to input an equation into my CAD software, rather than drawing a spline. The spline is pretty simple - a gentle curve which begins and ...
1
vote
1answer
40 views

Why is the right half of the output for the Plot[(-x)^(2/3), {x, -30, 30}] missing?

I want to get a figure for $(-x)^{\frac23}$. After using the following code, I found that only the left part of the function $(-x)^{\frac23}$ was plotted. ...
0
votes
0answers
22 views

How to generalize Tupper's self-referential formula?

How do I generalilze Tupper's self-referential formula so that it can graph arbitrarily big images, and not just 17 x 106 pixels ones? $${1\over 2} < \left\lfloor \mathrm{mod}\left(\left\lfloor {y ...
1
vote
3answers
30 views

How to find $x$-coordinate of all points where $f(x)=xe^{-x^2}$ has a horizontal tangent?

As you can tell from the graph, the function has a horizontal tangent at $y=0$. But how can you tell at what $x$-coordinates?
-4
votes
1answer
50 views

Sketching the curve $y=(x^2-1)^3$ [closed]

I know how to differentiate functions to get the first and second derivatives, but I do not know how to use this information to sketch a function. Could someone please explain, using as an example ...
1
vote
1answer
36 views

A gunshot is heard first by one observer and then $1.5$ seconds later by a second observer. Write an equation that describes the positions of the gun

Question: A gunshot is heard first by one observer and then $1.5$ seconds later by a second observer three kilometres away. Assume that the gun and the ear levels of the observers ...
0
votes
0answers
24 views

Graphing calculator leaving gaps in a drawn graph of a rotated parabola

I am graphing the equation of two rotated parabola on the graphing calculator and, after finding the y= form for each using the quadratic formula and entering them into a program to graph them they ...
0
votes
1answer
22 views

What is the name of the z axis?

If x is the horizontal axis and y is the vertical axis, then what do you call the z axis that is perpendicular to both x and y? The one that comes directly toward and away from you. In other words, ...
0
votes
2answers
37 views

Why can't this be the graph of any function?

I have seen that this can be the graph of an equation- But I learn't that this can't be the graph of any equation- Why is this?Why does this graph not exist?Please explain this to me. Thanks ...
0
votes
1answer
25 views

Constant difference between two percentage numbers (nonlinear)

I'm trying to figure out the correct way of detecting the difference of values based on two percentages, because my terminology is poor here is an example: The difference between two values where ...
0
votes
0answers
22 views

Finding solutions to the differential equation if you know isoclines?

Consider the function $\frac{dy}{dx}=x^2+y-1$. Sketch isoclines for $k=0, 2, 4$ on a grid for $x, \, y \in [-5, 5].$ Hence, construct a slope field and sketch the solution curve satisfying ...
0
votes
2answers
77 views

How to calculate a heart?

I really like this girl Jenny in my math class. She is smart and kind and sweet and really, REALLY hot. I want to get her to notice me by graphing a heart on my TI calculator but I don't know if ...
1
vote
0answers
31 views

Find the number of points of distance n away from origin as function of n

I came across a seemingly simple problem the other day and I thought I'd share it with anyone interested. Say you have a point in 3 dimensions. The number of points that are of distance $0$ away is ...
2
votes
1answer
24 views

Can we construct a non-trivial bicubic Bezier surface with mean curvature = 0 everywhere?

If possible how to display the min and max mean curvature values?
0
votes
1answer
11 views

calculate the value of P is the points A(6;5), B(3;2) and C (2p;p+4) are co-linnear

Also honestly have no clue whatsoever. I have tried jotting down a graph and just finding the differences between A and B and minusing them from B to create C. I know this is completely wrong! Please ...
6
votes
3answers
1k views

Why is wolfram alpha plotting this differently?

I have an equation for a cylinder as $x^2+(y-b)^2=a^2$ for some $a$ and $b$. so I just plugged in $b=2$ and $a=1$ and tried to plot it using wolfram alpha, and the 3D plot looked like half a cylinder, ...
0
votes
1answer
27 views

If a curve has $2$ stationary points, then $a<0$ or $a>3$

The curve $C$ has equation $y=ax+a+\dfrac{a-3}{x-1}$, where $a$ is a non-zero constant. Prove that if $C$ has two stationary points, then $a<0$ or $a>3$. My attempt: From the equation of the ...
1
vote
2answers
48 views

Right way of getting degrees of vertices

Suppose I have the following list of nodes: A E G A E H A F G A F H B E G B E H B F G B F H C F C E D G D H Every line indicates the connections between those nodes. So there is a connection ...
0
votes
1answer
26 views

What does the first x represent in {x, (x+1), (x-3)}?

The question is: "Part of the graph of a polynomial function is shown. Which of the following sets contains only elements that are factors of the polynomial?" The two answer choices left are B. ...
1
vote
1answer
34 views

How Are The Graphs Related?

We had this as a bonus question on my discrete math exam, and I have absolutely no idea how to even begin a question like this. Can someone explain this question to me, in case I see it as a bonus ...
2
votes
7answers
98 views

Does $f(x) = |x|$ have a local minimum?

I would like to know whether $f(x) = |x|$ has a local minimum at $x = 0$. For a local minimum, the first derivative of the function has to be zero. However, in the case of $|x|$, the function is not ...
0
votes
1answer
12 views

Construct a Sinusoidal Equation for an Irregular Period

I would like to be able to construct a sinusoidal function of limited domain given a set of real roots, assuming that the function is graphically centered on $y=0$. I expect that this would ...
0
votes
1answer
19 views

Function for a sinusoidal camel plot?

Is this kind of function possible? If so, what would the equation look like? I can get the camel like notch with a an exponent in a sin, such as sin(x^2), but I only get one notch.
1
vote
0answers
15 views

What are the expected number of people aged over 60 based on the following cumulative frequency table?

So, Question is as follows; It is expected that people who have reached the age of 60 will be drawing a state pension. If the countries poulation is 42.5 Million, what is the number of people that ...