# Questions tagged [graphing-functions]

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

3,490 questions
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### Graph self-nested function in Desmos

Let's say I have a function like the following: $$f(y, x)=x^2+y$$ If I wanted to nest this in itself, I could do: $$f_1(y, x)=f(y, f(y, x))$$ Now that I've defined what I mean, I pose the ...
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### Graphing Fractals With Equations

The Sierpinski Triangle is what interests me most in this question. Would there be equations for self-similar fractals (or any fractal types) which would work on a graphing calculator such as Desmos?
1answer
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### Is it possible to graph complex zeros of a polynomial?

I am sorry if this question is a complete nonsense, but keep in mind that I am a senior in high school, so my math knowledge is really low. My question is, can you graph complex zeroes on a three ...
1answer
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### Is the proportionality characteristic of this function being carried on?

$A=kx$ is a directly proportional function,where $A^2=B^2+C^2$.Does it necessarily mean $B$ and $C$ both vary directly with respect to $x$? If not, under what condition is this possible? Thank you in ...
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### How do normal shapes translate from a confined infinite graph to our normal coordinate plane?

Excuse the potato quality drawings below. First image: In a graph where the distance from one to infinity one equal to the distance from one to the infinitesimal, how would normal shapes that are ...
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### I'm stuck on coordinate graph involving tangents of parabolas…

Consider the function $f(x) = \max \{-11x - 37, x - 1, 9x + 3\}$ defined for all real $x.$ Let $p(x)$ be a quadratic polynomial tangent to the graph of $f$ at three distinct points with $x$-...
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### Plotting first and second order ODE

Here is the second order differential equation: $\frac{d^2x}{dt^2} + \sin(x) = 0$ with initial conditions $x(0)=1$ and $x'(0)=0$. The written code in matlab that numerically solves and plots the ...
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### How do I graph an interation of functions based on [i] where each iteration is multiplied by the others?

I have a basic graph for a series of evenly spaced out high shelf filters here: https://www.desmos.com/calculator/wa0rd8migz However, instead of graphing all the iterations of the function out, I ...
4answers
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### Why does $y=x^a$ flicker around the x-axis as you adjust $a$?

I know raising to an even power makes things positive and raising to an odd power preserves sign, but if you graph fractional powers they seem to alternate. Why is this? GIF demonstrating
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### Wrong time and plot with day-accross using gnuplot

By gnuplot, I plot two curves with time(like 23:59:23, means hour:minute:second) as xdata. But when the time steps to 00:00:00, the displayed xtics label and plots ...
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### Does anyone recognize the function from this picture?

I was playing with the exterior algebra, and stumbled on this interesting function from $\Bbb N^2 \to \Bbb N$, which I'll call $f(x,y)$. This is plotted from $1 \leq x,y \leq 100$: In this picture, ...
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### Converting tabulated data to equation of multiple variables

I've come across a mathematical problem while working on my school project. I've got tables for airplane takeoff distance which is dependent on airport altitude, temperature and mass of an airplane. ...
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### Graphing a 3D function

Is there an easy way of how to graph a 3D function. I tried doing research but none helped. Can anyone show me how to graph a 3D function? Here are the given: $z=x^2$, $x=0, x=2$ and $y=0, y=4$. Any ...
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### How can I decipher which graph belongs to which equation?

Aside from plotting points, how else can I tell which graph is which?
1answer
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### How can I create a cubic spline to connect these two line segments?

I am trying to create an audio envelope smoothing curve to smooth a steady signal (y=1) as it goes into exponential decay (y=c^-x). I have expressed the graphs of the two line segments I am trying to ...
3answers
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### Why is the domain of x raised to x (0,infinity)? [duplicate]

My math teacher was explaining how to draw graphs of given functions. For $f(x)=x^x$ he put the domain as $(0,\infty)$. Why is this true (if it is)? For $x= -2$, $(-2)^{-2}$ is $1/4$, and so the ...
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### Problem with Graphing Transformation of Cartesian coordinate into Polar coordinate.

I was trying to map Rectangle from cartesian to polar coordinates. I started by making a rectangle in a Cartesian Plane. From the x and y coordinates of the rectangle, I calculate the radius and angle ...
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### Possible wrong answer to Spivak calculus chapter on graphs of functions

In problem #17-v of Spivak's Calculus (3rd edition, chapter 4) the reader is asked to draw the graph of the function $f(x)= [1/x]$, where $[\ldotp]$ is the greatest integer function. I did the problem ...
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### Random Walk Modeling - Log Normalization of Data (MATLAB)

Having trouble clarifying which plot correctly log-normalizes the data. 1:steps(i); is a vector of 1 -30 and is equal to the number of steps taken ...