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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.

2
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1answer
28 views

Simple equation that will recreate this graph shape?

I am working on an audio synthesis project for a guitar, and one of the most challenging parts has been finding an equation so the decays of the partials (modes) can roughly match the behavior of real ...
1
vote
1answer
57 views

How to solve for $x$: $e^{-x/d}\cdot (1-e^{-x/a})$ value that will give a certain $y$?

I have a simple equation for $h(x)$ as a multiplication of two exponentials: $f(x) = 1-e^{-x/a}$ $g(x) = e^{-x/d}$ $h(x) = f(x)g(x)$ I solved $h(x)$ for its maxima at an $x$-value of $m= a\cdot\ln((...
0
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1answer
11 views

How can I automatically scale this equation to a specific max $y$-level?

I have a simple equation where: $f(x) = 1-e^{-x/a}$ $g(x) = e^{-x/d}$ $h(x) = f(x)g(x)$ This looks like this: https://www.desmos.com/calculator/gquxkhxqci I would like $h(x)$ to automatically ...
0
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0answers
12 views

How to create a cubic spline between the lines x=0 and y=1?

I am trying to create a simple cubic spline from points (0,0) to (m,1) connecting the lines y=1 and x=0. However, I am having trouble getting the spline to be tangential to the x=0 line at (0,0). ...
0
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0answers
24 views

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 ...
0
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0answers
21 views

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?
4
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1answer
54 views

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 ...
0
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1answer
16 views

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 ...
0
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1answer
27 views

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 ...
3
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2answers
34 views

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 $x$-...
0
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3answers
57 views

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 ...
0
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1answer
12 views

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 ...
2
votes
4answers
51 views

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
0
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1answer
18 views

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 ...
3
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0answers
56 views

Nomogram for $z = x + \sqrt{x-y}$

I am attempting to make a nomogram for the equation $$\frac{z-x}{g} - \left(\frac{z-y}{g}\right)^2 =0$$ (here $g$ is a constant). You can use the quadratic formula to solve for $z$, in which case: $...
0
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0answers
71 views

Plotting points of the form $(-p \mod(n),0)$ and $(p,0)$

Imagine taking an interval $[-n,n]$ of the $x$-axis, cutting it in half at $x=0,$ and gluing the sides over top of each other. This process is equivalent to thinking about points of the form: $(-x \...
3
votes
1answer
558 views

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, ...
-2
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1answer
56 views

Help with work on collatz conjecture?

I've managed to rearrange the collatz conjecture into a formulae and was wondering if I'm going in the right direction? The Formulae: $y=\left(3\left(\operatorname{mod}\left(x,2\right)x\right)\right)...
0
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0answers
7 views

How can I get the scale numbers on top of the axes in Graphing Calculator 3D? [closed]

This is a good software but it boters me a little the way the scale is displayed. I'd like to see it ON the axes, instead of outside of them, like on the border of the clipping box.
0
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1answer
26 views

How to make a rainbow graph with sine whos edges line up

I made a little shader (which is just a program that generates an image by running once for each pixel) thats supposed to be just a HSV rainbow. So it starts with red, then it gradually becomes yellow ...
0
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0answers
18 views

Graph NSolve with GeoGebra

I'd like to graph a function that takes a form similar to this: $$y=\text{NSolve}(\cdot)\times x$$ where the NSolve finds the solution to a function which includes a parameter which is chosen using a ...
-2
votes
3answers
44 views

Why the solutions of the equation can be obtained by drawing a line on the graph? [closed]

Suppose the equation x+y=5. I have solutions (3,2);(2,3). So, I could now plot it on graph. Now I have a straight line. When i choose any point on x-axis, say (1,0). When I draw a perpendicular ...
0
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1answer
37 views

What online graphing tools handle complex numbers well?

What online graphing tools handle complex numbers well? Desmos is generally excellent by breaking functions down into their real and imaginary parts and plotting on the Euclidean plane. For example ...
1
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0answers
21 views

Contour lines of a function including critical points

The problem that I have to solve sounds like this: Sketch the level contours of $f(x,y)$ in a region including all the critical points where $f(x,y)$ = $4x^2y + 4x^2+y^2-2y+1$ I know that the ...
0
votes
1answer
11 views

Using differentiation to find the gradient at the normal

I have a point $Q$ that lies on the curve $C$, where $C=\frac{3x^2}{4}-4x-10$. The point $Q$ is such that the gradient of the normal to $C$ at $Q$ is $-2$, how can I find the $x$-coord of $Q$? So far ...
1
vote
2answers
88 views

Why does plotting $\frac{3n+1}{2^k}$ give several apparently straight lines?

Here's the plot for $f(n)=\frac{3n+1}{2^k}$ ($n$ integer, positive, odd) where $k$ is the number of 2 factors in $3n+1$: Just to be clear, here's a zoom in: Why do we see those straight lines? I ...
1
vote
1answer
51 views

How to solve a differential equation graphically?

I want to solve the differential equation $y'(t)=ty(t)+1$, $y(0)=1$ graphically in the interval $[0,1]$. edit: Graphically means here, how to draw it with pen and paper. But how do I do this, ...
0
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0answers
25 views

How to sketch a particle in 3D space

~r(t) = `Acosh(wt) Bsinh(wt) C` How would I sketch this particle? My original idea was writing it as x^2/A^2 - y^2/B^2 + z = 1 + c, which gives a ...
1
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2answers
67 views

How to solve $\log_2(8x) = 2^x$

I am attempting to find the x intercepts for the two graphs, and would like to know how I would go about solving this equation; $$\log_2(8x) = 2^x$$ If you could explain the steps in the process ...
-1
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2answers
54 views

Three Variable Linear Equations [closed]

Why do three variable linear equations (ax+by+cz=d, where a, b, c are constants not equal to zero) outline a plane in rectangular space?
0
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1answer
34 views

Sketching conic section in canonical form

If I have found the canonical form to be $x^2/2^2-y^2/3^2-1=0$. Do I simply sketch this as I would a usual $(x,y)$ graph? As when I typed this into a graphing calculator I got 4 lines (2 straight and ...
0
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0answers
15 views

What is the maximum number of sides that a n-unit sigmoid-relu function can produce?

A $n$-unit sigmoid-relu function is defined as sigmoid of summation of $n$ relu functions where each relu function takes a linear expression in two variables as an input. The contour plot of such ...
0
votes
1answer
13 views

How to explain this formula : 2b-f(2a-t)=f(t) stating the condition under which the graph of a function is symmetric about the point (a,b)?

[ Edited. The original question contained a mistake in the formula] I'm reading a precalculus book telling me that if : f is a function (a,b) is a point t and 2a-t belong to the domain of f ...
0
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0answers
59 views

Complex plot of solutions to this equation

My question is: What does a complex plot of the solutions to the following equation look like? I'd like for the plot to include several different values of $z.$ $$\phi(z,x)= e^{\frac{z}{\ln(x)}}=x,$$ ...
-2
votes
1answer
53 views

How to draw the graph of $8x^3 -6x+1=0$?

How to draw the graph of $8x^3 -6x+1=0$? Any generalization of a graph of polynomials of degree 3 is helpful.
0
votes
1answer
60 views

Area bound by $y =\ln x +\tan^{-1} x$?

I'm not really sure how to do this without having a real graph using a graphing calculator. Adding the integrals would no work since some areas are overlapping, and even subtracting doesn't since one ...
0
votes
1answer
43 views

Why can't I graph r= 1 + 2cosθ by converting it into rectangular coordinates

I'm trying to graph the equation r = 1 + $2\cos \theta$ using its rectangular form. I converted this equation to rectangular coordinates like this: $$\sqrt{x^2+y^2} = 1 + 2 \cos\Biggl(\arccos\left(\...
0
votes
1answer
30 views

How can I plot $X, Y, Z$ in 3D chart in Graphing Calculator 3D [closed]

I couldn't do it in Excel. Can I draw a $X, Y, Z$ plot using Graphing Calculator 3D?
0
votes
1answer
23 views

Maple plot fails for HeunG functions

I would like to plot a specific function I have come up with (as part of a solution to a certain ODE) in Maple. It looks like this and involves the HeunG function: $$ \frac{r \sqrt{1-r^2} }{1+r^2} \...
1
vote
1answer
49 views

Conceptual Disadvantage of Defaulting to Column Vectors?

It is stated in this answer that conceptualizing linear algebraic systems with column vectors has a minor notational advantage. However, I just noticed that thinking in these terms may conceal an ...
0
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0answers
29 views

What would cause Log-Log Plot to be Non-linear?

I'm attempting to plot the error of a simulation compared to an analytical solution and am curious if my problem is intrinsic to my model or the way I am plotting the results. The idea is that my ...
0
votes
1answer
23 views

How to plot this kind of bar using whatever plot tools? [closed]

I want to plot this kind of figure to show the progress of an event. The highlighted parts show detected instances (Here's an example of what I want to plot). As you can see, there're in total 3 ...
0
votes
1answer
29 views

Can I plot complex function and how? [closed]

pleas help me i need to plot sin(z) in Graphing Calculator 3D. Iam sorey for my bad english can i wrote w=sin(z) ? and get nothing
0
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1answer
13 views

How to make a transformation to the floor function to the right or left?

Assume a function called $f(x)$ , Then all of us know that of we draw $f(x+a)$ it will be a transformation to the left or right and $f(x)+b$ to up or down. But when I drew floor function on Desmos ...
0
votes
3answers
50 views

$g(x) = f (|x|)$ versus $g(x) = | f(x)|$ ( image of absolute value of$ x$ versus absolute value of the image of $x$ )

In this post : Help me understand $y=f(x)$ vs. $y=f(|x|)$ intuitively a question double question was asked (1) what is the difference betwee f(x) and f( |x| ) (2) and what is the difference ...
0
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0answers
30 views

How do I draw the graphs of $\sin^{-1}(\frac{2x}{1+x^2})$ and $\tan^{-1}(\frac{2x}{1-x^2})$?

How do I draw the graphs of $\sin^{-1}(\frac{2x}{1+x^2})$ and $\tan^{-1}(\frac{2x}{1-x^2})$? The solution of a question in my books how these graphs and draws the conclusion that from them it is seen $...
1
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1answer
63 views

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. ...
0
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1answer
26 views

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 ...
2
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2answers
104 views

How can I decipher which graph belongs to which equation?

Aside from plotting points, how else can I tell which graph is which?
2
votes
1answer
39 views

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 ...