# Questions tagged [graphing-functions]

For questions regarding the plotting or graphing of functions. For questions about the kinds of graphs with vertices and edges, use the (graph-theory) tag instead.

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### How would you slove this graph transformation problem? [closed]

This is given the graph of y=f(x) enter image description here And the question is, what would this function look like based on the first function I mentioned enter image description here
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### Graphic of Chebyshev net

I need to draw in latex the Chebyshev net of surfaces of revolution (Just for this example I don't need to have asymptotic curves, but if I facilitate the calculations it would be great). I have ...
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### How to draw the graph of f(z)=e^z (is function that is periodic with pure imaginary period 2pi i.) [closed]

I want its graph as I am having difficulty in doing that.
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### How to find the formulas for a "perfect-bell" curve between 0-1?

I would like to have a formula to generate the curves shown in the following plot: The magnitude of curvature should be adjusted by a parameter. Does there exist any well-known function or ...
28 views

### Non-decreasing function to a constant function

Let $f:[s,r] \rightarrow [0,q]$ be a non-decreasing positive function, where $s$, $r$, $q>0.$ Where $s$ is defined as the largest $t$ in $]0,r[$ s.t $f(t)=0.$ Suppose $\exists t \in ]s,r[$ such ...
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### Fundamentals on creating a field equation [closed]

I am trying to brute force a novice grasp on field equations/graphs. Can someone provide me advice or insight on how would one actually approach a topic of creating an equation that describes a ...
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### Need help finding examples of pairs of functions satisfying certain conditions

I want to find pairs of two functions on two variables $f_1(x,y)$ and $f_2(x,y)$, such that each one can be minimized on one variable ($f_1$ needs to have a minimum on the variable $x$ and $f_2$ needs ...
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### Understanding the Graph of a Multinomial Distribution

I am trying to understand exactly what information the graph of a multinomial distribution is supposed to convey. The thing I find strange is that a binomial distribution is graphed in two dimensions ...
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### How to derive a function for a circle intersection in polar coordinates?

There are two equal intersected circles (see picture below). I need to find a function, which describes the intersection area. I've tried to derive the function by modifying a cosine function, but it ...
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### How do I derive the sinusoidal equation from this graph?

I don't understand how I can get the phase shift and period for this graph.
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### The ellipse is known, but how to draw it?

Let the equation of an ellipse in general be given by: $$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$$ Everything real valued, and well known it seems. But I have one question: how can we efficiently draw such an ...
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### Why can't I graph $\sin(x)^{\cos(x)}$ in desmos? [closed]

My attempt at graphing; produced no results. This is what I get in Wolfram. What can I do to get it graphed in desmos?
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### Why is $\frac{1}{\ln(0)} = 0$?

Why is $\frac{1}{\ln(0)} = 0$? I thought $ln(0)$ is undefined. The context is, I am looking for discontinuities in a function, and I expected $x=0$ to be a discontinuity since $ln(0)$ is undefined. ...
30 views

### Can anyone suggest a few good books based on Graphs and The Solutions of graphs

I just needed a few references of some good books for Graphs. I am looking for a book which just not only explain Graph Plotting but also to find the number of solutions of any type of equation be it ...
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### Is $\ln(\sqrt{x^2 + 1} - x)$ an odd function?

$f(x)$ is an odd function if $f(-x) = -f(x)$. If $f(x) = \ln(\sqrt{x^2 + 1} - x)$, one can observe graphically that $f(-x) = -f(x)$. Hence, $f(x)$ must be an odd function. However, WolframAlpha gives ...
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### Why is it that the graph of 2 equal functions differ as shown in the picture?

I was graphing $$y=\frac{x^{\frac{1}{3}}-4^{\frac13}}{x^2-8x+16}$$ and $$y=\frac{x^{\frac{1}{3}}-4^{\frac13}}{(x-4)^2}$$ but they seemed to differ at $x=4$ as shown in the picture. Why is that?
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### A more elegant version of this spiral graph

The problem I set out to create a polar graph of a spiral with the following properties: (Listed in order of priority) It should be performant to calculate (A household computer should be able to ...
28 views

### Graphing rational expressions of trig/exp by hand?

In my math class, we are not allowed to use calculators. Thus, when I see problems with an exponent/log or trig either in top or bottom and I have to graph them to solve the problem, I'm not sure ...
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### Are normal lines of a graph, tangent lines to another graph? And how can you induce it?

I was interested into normal lines of a curve, so tried to find out how many normal lines I can draw if I chose a random dot on the coordinate plane. The normal line trace of $y=x^2$ turned out like ...
23 views

### What do you call a plot where the increase/drop magnitude is equalized?

I've been looking at a COVID cases graph and realized that the normal growth/drop plot is actually misleading: In the middle of this plot we can see a peak growth rate of 56% and a peak drop rate of ...
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### How can you determine where two polynomials cross and are tangent to each other, just by factorising the difference?

My textbook asked me to factorise the difference between P(x) and Q(x) and describe the intersection. I'm having trouble understanding: Why doing this would allow me to describe the intersection And ...