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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8 views

How would I translate this pie chart?

I want multiple pie charts in a single graph (in desmos). This thing is what I copied to get the pie chart I needed initially, but now I need multiple more (possibly to get 4 or 5 pie charts in total)....
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Type a system of inequalities that represent the graph. Plz.

Link to picture of graph: https://i.stack.imgur.com/4KBFq.jpg Type a system of inequalities that represent the graph. Plz. . Like y(≥ or ≤ or > or <) (number)x(+ or -) (number) Example: y≥2x-3 ...
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Help. Type a system of inequalities that represent the graph. [closed]

Help. Type a system of inequalities that represent the graph.: https://i.stack.imgur.com/QKxR0.jpg
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calculus and advance math [closed]

Use the data you collected to generate the function of pulse versus time and write it down.: 1st min: 130 2nd min 125 3rd min: 130 4th min: 134 5th min: 145 6th min: 136 7th min: 137 8th min: 138 9th ...
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23 views

Plot an ellipse using information from different graph

I have this ellipse information from R language: center coords, major and minor axis length, and angle of rotation. Now I need to use this information to plot the same ellipse in another framework(...
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2answers
29 views

How can we represent set $S= \{z:|z|>|z-1|\}$ graphically.

Here I have plotted graph of $|z|$ and $|z-1|$ but I am not getting the required condition. I have to plot this using divs in a plane for which general set is $\{z:|z-z_0|<r\}$ where $r$ is radius ...
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Thomae function - line patterns

This question is related to this one. I'm tutoring some first year university students calculus, and next week, discussing continuity, I plan to talk about Thomae function: $$ f(x) = \begin{cases} ...
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1answer
41 views

What is the function for the following plot?

I have the following plot and have huge difficulties finding the corresponding function $X=1,2,3,6,12,40,100$ $Y=-2,-1,0,1,2,3$ $R=$ the results $\mathbf{-2}$ $\mathbf{-1}$ $\mathbf{0}$ $\mathbf{1}$ $...
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2answers
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When I graph $y=x^{1/2}$ why does it only show the positive y values.

I understand the reason for $y=\sqrt{x}$. I've been told that the radical symbol gives out the positive answer. But $y=x^{1/2}$ doesn't use a radical symbol, and it still only shows the positive y ...
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1answer
31 views

How to know the shape of the parametric curve $(\frac{6m^2 - 8m}{m^2+1}, \frac{-6m + 8}{m^2 + 1})$?

How to know the shape of the parametric curve $(\frac{6m^2 - 8m}{m^2+1}, \frac{-6m + 8}{m^2 + 1})$, where $m$ goes from -$\infty$ to $\infty$? I know it should be a circle by plotting it on a graph ...
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44 views

Graphical intuition of why the integral is a linear operator

so I can prove using upper and lower riemansums why the integral is a linear operator: $$\int a f(x) + b g(x) \,\mathrm{d}x = a\int f(x)\,\mathrm{d}x + b\int g(x)\,\mathrm{d}x$$ And I also understand ...
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1answer
57 views

Why does $\sin(x)=\sin(y)$ not equal $\sin^{-1}\left(\sin\left(x\right)\right)=y$? [closed]

The equation $\sin(x) = \sin(y)$ does not produce the same output as $y=\sin^{-1}(\sin(x))$. Can anyone explain why this is?
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1answer
27 views

Process of graphing a function $\arccos(\ln{(\frac{x+1}{x-3})})$

$$\arccos\left(\log{\left(\frac{x+1}{x-3}\right)}\right)$$ We need to graph this function. I can graph $g(x)=\log{\left(\frac{x+1}{x-3}\right)}$ but I get trouble when I want to graph $\arccos(g(x))$...
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Research the function on continuity: find points of discontinuity and establish their type. Sketch its graph

Given : Research the function on continuity: find points of discontinuity and establish their type. Sketch its graph: I don't know how to solve this function; I research in points x=-1 (discont. 1 ...
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1answer
43 views

How to graph $y=4x^2-4x^4$

In physics when learning simple harmonic motion they gave us the x coordinates dependence on time and similarly for the y coordinates I got the resulting equation of path taken as $y=4x^2-4x^4$ which ...
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Conversion tricks for unimodal functions

Please tell me how you can transform the unimodal function in such a way that at the maximum point the value $y$ of the function (regardless of the initial value) is equal to $1$ or tends to $1$. Let ...
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1answer
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a funktion that behaves in the way of acceleration at start, and a constant force after a set time..

How id like the funktion to behave, acceleration at start, and a constant force after a set amount of time All i want is a funktion that behave this way, il edit it myself if need be to fit for its ...
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1answer
28 views

midline and amplitude of the curve $y = 3\csc (\frac{\theta}{2} - \frac{\pi}{3})+2$

Can anyone please tell me what is midline and amplitude of the curve $y = 3\csc \left(\frac{\theta}{2} - \frac{\pi}{3}\right)+2.$ My Attempt: As maximum and minimum of $y = 3\csc (\frac{\theta}{2} - \...
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Showing an organised top down view of a 3D function with Maxima

I'm trying to use Maxima to show the top down view of a 3D function, the different values (height/depth) of the function will be shown using a range of colours and a colour bar that Maxima provides ...
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Putting graphs side by side in latex [closed]

I have two graphs that I want to put side by side in Latex. At the moment they can only be displayed one underneath the other. Both are in the format: \begin{tikzpicture}[xscale=0.8,yscale=2,domain=0....
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1answer
62 views

How do you find an analytical solution from a graph? [closed]

Given is a graph with three functions, g(x), G(x) and g'(x). I don't need simply the answer. I want to know how to do it, or at least how to begin.
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1answer
39 views

finding the shape of the higher order equations

Is there any way to find the shape of the higher-order equation like this one? I am more interested in making an initial guess about the shape (fast prediction) and then the process to find it. Any ...
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1answer
58 views

Pythagorean-Hodograph curve's control points

In the Farouki's book "Pythagorean-hodograph curves: algebra and geometry inseparable" it is said that control points of the cubic Bezier curves with Pythagorean-hodograph qualities are set ...
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1answer
30 views

Let's say you have a graph defined by $f(t) = 2t + 8 $ if $t \le 3$ $ f(t) = 2 $ if $t \gt 3 $ what is the area?

So, I have two functions which let me reiterate $ f(t) = -2t + 8$ if $0 \leq $ t $ \leq 3 $ $f(t) = 2 $ if $t \gt 3$ Now, what this looks like is a downward slope from y = 8 and x = 0 that stops ...
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1answer
51 views

Experimental Analysis of an Algorithm - How to prove that the graph is $O(n\log n)$?

This question is probably stupid, but I've been trying to figure this out for hours and I still couldn't find anything about it. Probably I'm just too lost. So basically, I'm analysing an algorithm by ...
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2answers
41 views

What's a formula for a graph like this? [closed]

I'm trying to find a method to turn a value (that can reach a maximum of N) into a percentage. But I don't want it to be linear, I need it to be non-linear like the in this graph: graph
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1answer
46 views

Are there any hidden relationships between two numbers $a$ and $b$ such that $a^a=b^b$ when $a \neq b$?

Are there any hidden relationships between two numbers $a$ and $b$ such that $a^a=b^b$ when $a \neq b$? I am attempting to do some research into this relationship, and I came across this when looking ...
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semilog axis for powers of two

I'd like my x-axis for a plot to list only powers of two in a range. Specifying the x-values alone doesn't seem to work. For example (4, 8, 16, ...) is depicted by matlab with all the intervening ...
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1answer
27 views

weird relationship graphs of functions and their reciprocals, why does this happen? and what is the relationship?

I noticed a weird thing about quadratic functions and their reciprocals and was wondering why it happens Graph of $x^2$ and $x^{-2}$: as you can see they clearly have some sort of a relationship with ...
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1answer
25 views

Spiralling Sin Wave Equation

I am looking to plot a function which has the following shape in python shown in the image below: (apologies for the poor quality). Is there a function that has this form? The only way I can describe ...
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2answers
46 views

Graph $f(x,y)=\ln(x)-y$

I'm trying to graph $f(x,y)=\ln(x)-y$, however, I am not sure how as all of my tools are refusing to graph it. Can you please help me? Thanks
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20 views

Plot that isn't strictly a straight line on log-linear graph

I have two plots, "$x$ vs $\tau$" and "$t$ vs $\tau$" both calculated using RK4, and I took the absolute error using the known exact solutions for $x$ and $t$. The linear plots of ...
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3answers
52 views

How to draw the graph of $x^2+(y-(x^2)^{1/3})^2=1$ without WolframAlpha? [closed]

How to draw the graph of $x^2+(y-(x^2)^{1/3})^2=1$ without WolframAlpha?
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29 views

Add two trig functions together to match plots

I've got data for the tides of a beach: x is elapsed time and y is the height. I'm trying to add two trig functions together so that it roughly matches the plot. I have no idea what to do, heres the ...
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Multiform function graph

The Question Suppose $f:R$ -> $R$ $f(x)$ = $(2x-1)/3$ , if $x ∈ [-2, 2]$ $f(x)$ = $1$, if $x ∈ R - [-2, 2]$ My Understanding Is the graph something like this? $A$ has the coordinates $x = -2 , ...
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1answer
29 views

Any memory efficient mapping function from a square 2d space to 1d space? [closed]

I do programming questions but many a times I come across some problem in which I think I should make an effort to reduce both time and space complexity. For example, I want to convert given ...
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Finding the inverse of a degree-$5$ polynomial using its graph

As far as I know, real polynomials of degree $\geq 5$ are known to be non-solvable. This implies that there are, in general, major algebraic difficulties in finding their roots and, provided they ...
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1answer
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What would be the graph of $P(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)\cdots$ (with infinitely-many factors)?

Suppose A polynomial $P(x)$, such that, $$P(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)\cdots$$ having infinite roots. Where $x_1$, $x_2$, $x_3$, $x_4$, $\ldots$ are roots of the polynomial. My question is what ...
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1answer
33 views

Trying to fit an equation to a graph [closed]

I'm trying to fit an equation to the scatter plot below. Does anyone know what equation can produce data points like this? Scatter plot
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1answer
45 views

$y=x$ and $y^n$ In the First Quadrant

I wanted to ask a question about an equation, $A(n)$, where $n \in \mathbb{N}$ be the area in the first quadrant bound by $y = x$ and $y = x^n$. Would the following be true: $A(n)=A(\frac{1}{n})$ $\...
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25 views

Consistent MATLAB plot size w/ different axis labels

I'm trying to specify the sizes of two MATLAB figures in such a way that the graphs appear to be the same size, regardless of extra space used outside the axes. Specifically, I'm want the white ...
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11 views

Can ratio data be plotted using same-sized bins?

I often want to plot ratio data (one variable divided by another) but don't know how to bin the data for visualization. An example ratio dataset is normalized standard deviation: Every day I have a ...
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How to plot $\max_{i=1,…,k}\left|a_i^Tx-b_i\right|$?

Looking at the Chebyshev approximation problem: Minimise $$\max_{i=1,...,k}\left|a_i^Tx-b_i\right|$$ where $x, a_1,...,a_k \in \mathbb{R}^n, b_1,...,b_k$. I was wondering How you'd plot this function ...
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1answer
48 views

1985 USAMO #4 (Graph Theory)

There are $n$ people at a party. Prove that there are two people such that, of the remaining $n-2$ people, there are at least $\lfloor n/2\rfloor -1$ of them, each of whom knows both or else knows ...
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3answers
22 views

Graphing a systems of linear equations?

I'm trying to understand how to graph systems of linear equations. Say for example we have the following: $x_1 - 2x_2 = -1$ $-x_1 + 3x_2 = 3$ I'm only used to graphing $x$ and $y$ coordinates, how am ...
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1answer
32 views

A linear function that returns 8096 when x is 8, and returns 1024 where x is 65536

I'm struggling to come up with a formula that returns 8096 when x is 8 and 1024 when x is 65536. And appropriately returns the correct y when x is between those values. I think this is a simple graph ...
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2answers
91 views

What is the higher dimensional analogy of $x^3, x^4$, etc.?

We know that a paraboloid, $x_1^2 + x_2^2 = x^T x$ is the generalization of a quadratic $x^2$. Is there some function similar to $x^Tx$ that can be used to represent cubic, quartic, quintic......
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15 views

Graphing Trigonometric Equations Using Auxiliary Angles

Sketch the graph of the function $f(x)=2\sin x +3\cos x$ for $[0,2\pi]$ Knowing I'm supposed to convert this to the form $r\sin(x+a)$, I have gone and found $r=\sqrt{13}$ , and finding $\alpha$ gives ...
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4answers
123 views

How can $\frac{1}{\ln(x)}$ be equal to $0$?

High school calculus student checking in here – first time poster. I got asked a question by one of my friends: If $\cot x = \frac{1}{\tan(x)}$, how could $\cot(x) = 0$? For this to be possible, he ...

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