# Tagged Questions

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

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### What is meant by the “contour of a function?”

Suppose that we have $f(x,y)=(x+y)^2.$ What is meant by the "contour of a function," and what is an analytic expression for it? All software, such as Matlab, Mathematica,.. gives just a function like ...
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### How can I apply Rolle's theorem here?

How can I use Rolle's theorem to check whether the function $f(x)=x^7+x−7$ has two real roots ?
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### Twin Primes (continued research)

This has become increasingly crowded, so at the onset, let me state this: My question is, is there some reason this is so linear that I'm not seeing? The only thing it seems to indicate to me is that ...
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### Differing graphs for simple inverse exponential problem

In class, we are learning exponential functions. The following inverse exponential problem is bothering me: $y=x^{-\frac{1}{9}}$. When graphed, I feel that it should look like it does on Desmos: ...
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### What type of function is $x^2+y^2+6x$?

So, the task is to calculate the volume of body formed when the surface bounded by these functions: $y=x^2/3$ and $x^2+y^2+6x$ rotates around $x$ axis. Everything involving the actual calculation ...
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If $f(x)=x^2 -6x+14$ and $g(x)=-x^2 -20x -k$, determine the value of $k$ so that there is exactly one point of intersection between the two parabolas. How do I do this? If I did $x^2 -6x+14=-x^2 -... 0answers 16 views ### Plot complex inequalities$|z^2| > Im(z)^2$I need to draw the set of all complex numbers, which satisfy the following inequality:$|z^2| > Im(z)^2$This is what I've already done:$|z^2| > Im(z)^2|z|^2 > Im(z)^2$- use$z = a +...
I need to find the equation for the graph of $y = x^2$ with the following characteristics 1. congruent to $4x^2 + 8$ 2. shares the same translations as $\frac{1}{3x - 9}$ I have attempted this ...