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

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How to determine the periods of a periodic function?

I am aware of the other similar questions but was not able to figure out what I want to know from those question thus posting it here. Given a periodic function $f(x)=sin(x)$, Why is the period ...
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1answer
13 views

Method for finding function from graphs

I have a linear line on a graph that intersects the y axis at 0.1 and the x axis at 1. Very simple, however for the life of me I can't remember the process for finding the function expression. By ...
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1answer
24 views

Is the following graph having two local minima

https://www.desmos.com/calculator/abuvb1zdkb I think yes, the main question i think is of the definition of neighbourhood For a function with domain $(-\infty, -3)\cup (3, \infty)$ $ $ Is -3 in ...
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1answer
26 views

Equation for a Vector Field Spiraling to a Point

I'm building a generative animation and one of the things I'm trying to achieve is a vector field that spirals towards a point. I've discovered ...
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2answers
57 views

If a one-to-one function's inverse is the same what must be true of the graph of f?

As a followup to this question. I'm trying to determine what must be true of the graph of $f$ in these cases. I've examined the two functions $f(x)= x$ and $f(x)= \frac{1}{x}$ and I'm not seeing any ...
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0answers
43 views

How to calculate similarity between two Manhattan skylines

Forgive me if its the wrong place to ask this question: I have two graphs. On both, the x-axis is simply a position 1 to 1000000 equally spaced. The y axis is a frequency. The graphs I have generated ...
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3answers
25 views

Formula for a vertical cosine graph

I was looking at Cosine and I thought it was cool, I was wondering what the formula for a horizontal version of it would look like. A graph for Something like this :
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1answer
33 views

Plot shape with its control net

In "Ming-Jun Lai, Larry L. Schumaker. Spline Functions on Triangulations. Cambridge University Press, 2007, p.64", the author plotted a surface and its corresponded control net: For my thesis, i ...
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2answers
50 views

Graphs for mod functions

Can someone please teach me how to obtain graphs for the following types of functions: $2+3|x-1|$ $|x-1|+|x|+|x+1|$ $|x-1|-|x|-|x+1|$ $|x-1|^2$ Thanks.
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0answers
86 views

For which real numbers $c$ is there a straight line that intersects the curve $y = x^4 + 9x^3 + c x^2 + 9x + 4$ in four distinct points?

For which real numbers $c$ is there a straight line that intersects the curve $y = x^4 + 9x^3 + c x^2 + 9x + 4$ in four distinct points? I don't quite the understand the solution which is in ...
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0answers
42 views

matlab: cdfplot for relative error

The figure shown above is the plot of cumulative distribution function (cdf) plot for relative error (attached together the code used to generate the plot). The relative error is defined as ...
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1answer
52 views

Marking the roots of a quadratic function in Scilab

I have 2D plotted a simple quadratic function in Scilab and now have to mark the roots with an X. Is there any simple way of doing that? I have written a function that calculates the roots and ...
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2answers
695 views

Do odd functions pass through the origin?

An odd function is symmetrical in the 1st and 3rd quadrants. Does this means that it always passes through the origin?
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1answer
22 views

Transformation of graphs of the functions.

How to graph functions like $y=x+\sin x$ or functions having addition or subtraction of different variables?
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1answer
44 views

Why does this algorithm to plot implicit equations work?

This may be an obvious question, but I can't seem to figure it out. I found an algorithm that receives an equation, and in order to plot its graph, for each pixel in the screen, it will replace the ...
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0answers
31 views

Find the expression of a function close to this drawing

I am trying to model mechanical response under constraint in materials, and I know that I need this kind of function if I want my model to be accurate. The point is, I have absolutely no idea about ...
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1answer
98 views

How to graph $y=f(x^2)=\sin(x^2)$?

How to graph $y=f(x^2)=\sin(x^2)$? I have substituted as follows: $$\begin{cases} y=f(a)=\sin a\\ a=x^2\end{cases}.$$ Then if I graph this with the coordinate axes $y$ and $a$ I get the ordinary ...
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4answers
61 views

Circle - finding the equation

Question: Find the equation of a circle whose center is in the first quadrant; touches the x-axis at (4,0) and makes an intercept of length 6 units on the y-axis. I am getting a faint idea where to ...
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1answer
30 views

Find the slant asymptote for $x= \dfrac{3t}{1+t^3}$, $y= \dfrac{3t^2}{1+t^3}$

I am geting $y=-x$, while the answer $y=-x-1$ What i did is to write $y = tx$ and as $t$ goes to $-1$. $x, y$ go to $\infty$, hence the asymptote is $y=-x$ Where did i go wrong.
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0answers
135 views

How to plot decimals on a line graph?

Trying to plot 56.8, 113.6, 170.4, 227.2 and 284 on the x axis of a line graph, what scale should I use? And should it start at 0?
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3answers
34 views

How to go from this equation to the equation of an hyperbola

I've seen that $x*y=1$ graphs an hyperbola, but I am struggling to get that equation to the form $\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$. How can I do this? Ultimately, what I want is to be able to ...
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1answer
66 views

How is equation art created [duplicate]

A friend of mine sent me a Wofram Alpha link to a parametric curve that creates a detailed drawing of a game character. The parametric equation that draws it is about ~9 screens tall on my ...
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0answers
74 views

Counting number of perfect matching in bipartite graph. [duplicate]

Graph G is bipartite graph, I want to just count number of perfect matching. Is there any algorithm exist using combinatorial+graph theory, by which i cant count this. I tried by traversing the graph, ...
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2answers
324 views

What is a French curve, as mentioned by Feynman?

I'm reading "Surely You're Joking, Mr. Feynman!", he says: I often liked to play tricks on people when I was at MIT. One time, in mechanical drawing class, some joker picked up a French curve (a ...
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1answer
42 views

What is the graph of $y = \sin n$ and why is it different from the graph of $y = \sin x$?

I have downloaded a book about Calculus from MIT OCW. In that book, there is a section "A Thousand points of Light". (You can download the relevant section from here.) In that section, it is written ...
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1answer
45 views

Could not find equation of function from data

I have a problem to find equation of function of my data: 0.00 0.007 0.20 0.041 0.40 0.165 0.60 0.449 0.80 0.816 1.00 0.982 1.20 0.741 1.40 0.212 1.60 -0.362 1.80 ...
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1answer
27 views

Rewrite the following surface so that I can graph it.

$z = \dfrac{1+x^2}{1+y^2}$ $ $ I want the part of the surface above the square $|x|+|y|\leq 1$ $ $ OR we can write this square as $-y<x<y$ and $-1<x<-1$ $ $ I have spent hours trying ...
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0answers
98 views

Function's graph sketch

$f(x) = x+9$ $g(x) = 2x-3$ I need to draw the sketch of $\min(f,g)$ and $\max(f,g)$. I tried: http://sketchtoy.com/62375984 The yellow is the min and the blue is max. The lines should be ...
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1answer
55 views

Sketching a surface

If $${\bf F}=2y{\bf i}-z{\bf j}+x^2{\bf k},$$ and $s$ is the surface of the parabolic cylinder $y^2=8x$ in the first octant, bounded by the planes $y=4$ and $z=6$, evaluate $$\int_S{\bf ...
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1answer
72 views

Software to easily draw 3d plots from functions

my problem is that I need a way to quickly check results of my, that is to say, homework. I think that the best way to do this is to draw a plot of a function to quickly see whether my solution is ...
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0answers
28 views

Can not determine scale of x-axis of attached graph

I am trying to digitize the data from the graph in this link. I thought the $x$-axis was in $\log_{10}$ scale but after trying to digitize this way the points seemed off. I also tried digitizing in ...
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1answer
56 views

Why does this graph only the positive side

The following equation graphs a love heart, $x^2+(y- \sqrt[3]{x^2})^2=1$ And since (please correct me if I'm wrong) $\sqrt[3]{x^2}=x^{2/3}$ I should be able to write it like this: $x^2+(y- ...
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2answers
60 views

Which set of points are defined by the relation $x/|x|=y/|y|$?

Which set of points are defined by the relation $x/|x|=y/|y|$? I think the answer is a straight line bisecting the first and third quadrants through the origin ( ie the line x=y). However wolfram ...
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2answers
57 views

Graph a function

I have a question, I have a function: $$f(x) = \frac{-x^2-10x}{2}$$ I'm really confused how to replace the x. So, what would be the points in $y$ if $x$ were: $-4, -3, -2, -1, 0, 1, 2, 3, 4$?
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2answers
31 views

Establish the absolute maximum of a function

We have this function:$$f(x)=\begin{cases} \sin(x) \cdot\ln(\sin2x), & \mbox{if }0<x<\pi/2 \\ 0, & \mbox{if }x=0,\mbox{or }x=\pi/2 \end{cases}$$ So, how to prove that it decreases and ...
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3answers
57 views

sketching the graph

how to sketch the graph $|x+y|= m$, when $ m $ is some real number? I personally can not see any efficient or known method to do so...
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1answer
27 views

How to draw the graph of $|x|+|y|=1+x$ and $y+|y|=x+|x|$.

There is this question that asks to draw the graph of $|x|+|y|=1+x$ and $y+|y|=x+|x|$. I know how to draw the graph of $y=\ldots$ using elementary techniques of translating, dilating, etc. But this ...
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1answer
29 views

Question regarding Bezier Curve

A Bezier curve $Q$ has control points $P_0 = (0,0,0), P_1 = (0,1,0), P_2 = (1,1,0) and P_3 = (2,0,0)$. What point is $Q(\frac12)$?
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0answers
41 views

Quartic Polynomial Manipulation

I have a quartic polynomial in $x$ (too long to write here) $f(x,c_1, c_2, c_2)$ where $c_1, c_2, c_3$ are constants which I have complete freedom over how to fix their values, as long as they are ...
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2answers
68 views

Parametric Equations

$x=3\sin^3t$ $y=3\cos^3t$ How would I even begin to work out this one? I'm supposed to graph it, but I have no clue what how to even start it.
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0answers
14 views

need for a function suggestion to fit data

I have calculated some data which looks like the figure below, I was used to use spline to fit the data but I noticed that the data form looks rather similar to zeta and 11/r functions so I was ...
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4answers
51 views

Increasing, continuous, concave downward function normalised between 0.5 and 1

What would be a good function which is increasing, continuous, concave downward with $$\lim_{x \to 0} f(x) = 0.5$$ and $$\lim_{x \to \infty} f(x) = 1.$$ It should be concave downward whose ...
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3answers
38 views

Graphing polynomial functions

I am having problems understanding how to graph $(x^2 -1)(x^2 -9)$, Any help would be much appreciated! Thanks
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1answer
24 views

Velocity time graph and determining the time taken

The velocity of a particle and time are as follows $40ms^-1 in 1 sec$, $30ms^-1 in 2 sec$, $20ms^-1 in 3 sec$, $10ms^-1 in 4 sec$. How to calculate the time taken to trave $35m$ for the velocity-time ...
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0answers
64 views

Sketching the shock path

I can do the vast majority of this question except the bit underlined in green at the bottom. I don't really understand what it is asking. By 'some large t' does it mean 'at large values of t'. To get ...
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1answer
45 views

Why does $f(x) = x \cos 4x$ lie below the $x$-axis in ther interval $[\pi/4, \pi/3]$?

How can I explain why function $f(x)$ lies below the $x$-axis in the interval $\left[\dfrac{\pi} 4, \dfrac{\pi} 3\right]$ where $f(x) = x \cos 4x$?
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1answer
24 views

Graphing functions

I am having problems understanding how to graph the product $fg$ when $f(x) = x$ and $g(x) = |x|$. Any help would be much appreciated!
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1answer
51 views

Plotting the intersection of multiple surfaces with WolframAlpha

I want to plot the intersection of two surfaces like in this post. But if I enter the much simplified expression ContourPlot3D[{x^2 + y^2 + z^2 - 4=0, xy=1}, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}] ...
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1answer
24 views

Find a projectivity to create a graph.

I have the tetrahedron {xyzt=0} in projective space with homogeneous coordinate (x,y,z,t). I need to create a graph but the tetrahedron in affine coordinate is {xyz=0} and I can't visualize the ...
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1answer
29 views

How to figure out a graphs function

I'm trying to figure out how to time an animation in CSS, and all I have to work with is this image with some graph-plots of the animation-speed. I did have some calculus 10 years ago, but the ...