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

learn more… | top users | synonyms (2)

2
votes
3answers
45 views

When I was teaching absolute function properties ,I made this question suddenly …

I was teaching absolute function properties in k-12 class. I made this question in my mind . Suppose $f(x)$ is a one-to-one function ,and it's definition is $f(x)=max\left \{ x,3x\right \}=ax+b|x|+c$ ...
2
votes
1answer
19 views

Determine the domain and range of the following relations using set builder notation.

I have been given the following relations to find the domain and range of using builder notation. I am just beginning to learn the whole concept of set builder notation, and I am running into a ...
-1
votes
1answer
15 views

Determining Whether X or Y is Positive in Slope [on hold]

The slope intercept equation reads: y= -1/3x + 5. Therefore, the Y intercept lies on the graph at (0,5). My instinct was for both 1 and 3 to be negative (so to graph the line, move down 1 and to the ...
8
votes
0answers
91 views

Is “imposing” one function onto another ever used in mathematics?

First of all, let me define what I mean by "imposing." Basically, I mean graphing some function with respect to some other function, rather than with respect to the x-axis. To be more specific, for ...
2
votes
1answer
847 views
+50

Sketching a line segment from a vector equation

Sketch the line segment represented by each vector equation: $$\begin{align} r &= (1-t)(i+j) + tk \;& 0 \le t \le 1 \\ \\ r &= (1-t)(i+j+k) + t(i+j) \;& 0 \le t \le 1 ...
0
votes
1answer
284 views

Normalizing graphs?

I have a statistical line graph for a website which is all automated, but it does not look very nice. What can I do with the data (massage it, etc) to make it look better and easier to read? The graph ...
0
votes
1answer
20 views

Setting a Maximum and Minimum Amplitude in Sine graph

I currently have a translated sine graph with the following formula: $$\left(\sin\left(\frac{x}{50 / \pi} - \frac{\pi}{2}\right) + 1\right) \cdot 0.5$$ Which makes a graph like this However I ...
1
vote
1answer
39 views

How to draw graphs of functions?

I have knowledge in programming language C++..However I want to draw graphs of various functions such as $\sin\dfrac{1}{x},x\sin\dfrac{1}{x}$ etc. Is there any available software that can be run on ...
1
vote
0answers
31 views

Create log-normal on y axis?

I currently have a graph with log numbers on the x-axis and the y-axis goes from 0-100. How can I get it to I guess log normal y-axis as shown in the picture below? Thank you for your help!
0
votes
1answer
38 views

What would the formula to this graph be

Below is a graph I want to use to measure loss over heat. A low heat and a high heat will signify a greater loss, whereas an average heat will signify a lesser loss. Loss is left Heat is bottom ...
2
votes
2answers
38 views

How do I rate smoothness of discretely sampled data? (Picture!!!)

In the sense that the following curves pictured in order will be rated 98%, 80%, 40%, 5% smooth approximating by eye. My ideas: (1) If the curves all follow some general shape like a polynomial ...
2
votes
2answers
36 views

When it comes to using derivatives to graph, do I have all of these steps right?

Perhaps this is a silly question, but I haven't been able to find a clear answer anywhere as to what exactly the steps are for using derivatives to find the shape of a graph (I'm having difficulty ...
1
vote
1answer
24 views

Determining the region given by $(x-ay)(x-by)(x-cy)\dots<0$

It's easy to sketch the region given by the inequality $(x-ay)(x-by)<0$ where $a,b\in\mathbb{R}$. A cubic one would take a bit more work but doable nevertheless. But I was trying to find a general ...
-3
votes
2answers
32 views

exponential graphs of the form $y = B^x$ [closed]

What is true about 2 exponential graphs of the form $y=B^x$ if the value of $B$ in the first equation is n and the value of $B$ in the second equation is 1/n?
-1
votes
0answers
15 views

Graphing Functions Help [closed]

What is the same for all exponential equations of the form $y=B^x$ if: A) The value of $B$ is greater than $1$? b) The value pf $B$ is greater than $0$ and less than $1$?
0
votes
2answers
27 views

Function in Maple giving weird plots

In Maple I have defined a function If I plot within $Q \in [0,100]$ I get but I get the exact same plot with other boundaries and if I use $Q \in [0, 10^{-10}]$ I get How can this happen? ...
0
votes
0answers
13 views

How do I get the linked desmos graph to behave how I want it to?

So I have been trying for a while to use and change this desmos graph so that I can graph most any function and rotate it. It already has some ability to rotate the graph. If you go in and mess with ...
2
votes
1answer
32 views

How do I find a point on a graph which is equal on both the axis?

I have the equation $ 10^{x-0.7711} = x $. In order to find x, I thought that I'll graph the equation, and the point where x = y, will be the answer. How do I do this? Or is there any other way to ...
1
vote
2answers
24 views

Finding first and second derivative of an function with an absolute value

Given the equation $f(x)= |x^2-9|$ where $-4\le x\le 5$, I must find the extremes, as well as the concavities. This I know how to do. The issue is I'm unfamiliar on how to find the first and second ...
0
votes
4answers
103 views

When $f(0) = 0,$ is it always true that $G(0) = 0,$ where $G$ is the antiderivative of $f$?

I have a hunch that it is, but it would be nice if somebody could confirm / disprove it for me. Thank you. Edit Is it when the constant of integration is equal to zero?
1
vote
1answer
26 views

Shortest path in a hypercube graph

A* algorithm is one of the algorithm which produces a shortest path in a given graph. I am interested in knowing, is there any property of d-dimensional hypercube which allows the parallel computing ...
1
vote
1answer
54 views

Projection of a 3D spherical function to a carteasian axis

I have a 3D function defined in a spherical coordinate system $(r,\theta,\phi)$, which is written as a product of a radial function $R_{nl}(r)$ and a spherical harmonic $Y_{lm}(\theta,\phi)$ I.e $$ ...
1
vote
0answers
41 views

Graphing inequalities, elementary geometry (Highschool level)

I am going through some past papers, and one of the few questions I need help with are: For the second one, relating to plotting $\sqrt{4 - x^2}$, I made a table of values starting from $0$ until ...
0
votes
2answers
13 views

Centering Text on Image after padding values

I'm creating an Image, the Image has text on it. The text I want it to be center on the Image but the Image has padding values that I assigned. The equation I'm using and the values for the ...
4
votes
1answer
139 views

Nature of roots of a biquadratic equation

(Biquadratic $\rightarrow$ Quartic (degree 4)) The Question: (from a book i am practicing from) Find the nature of the roots of the equation $$f(x) = 45 x^4-144 x^3+146 x^2-56 x+12=0$$ (By nature i ...
0
votes
1answer
36 views

A Sine Wave with a Sine Wave Inside

How do you graph a sine wave that is "squiggly" in the pattern of a sine wave as such that there are points of inflection in the sine wave as if it was a sine wave itself? If anyone can provide a ...
2
votes
2answers
69 views

Behavior of $x^2+y^2+\frac{y}{x}=1$.

In my mathematical travels, I've stumbled upon the implicit formula $y^2+x^2+\frac{y}{x}=1$ and found that every graphing program I've plugged it in to seems to believe that there is large set of ...
0
votes
2answers
424 views

Plot recursive signal in Matlab

I need to create and plot this signal in matlab with 2000 points: x(n) = 0.6530 x(n-1) - 0.7001 x(n-2) + v(n) Where $x(-1)=x(-2)=0$ and $v(n) =$ white noise I ...
1
vote
1answer
27 views

Problem with integrating to find volume

I want to calculate the volume of the hyperboloid between the two planes: $hyp:{x}^{2}+1/4\,{y}^{2}-{z}^{2}=5$ $plane1:=z+x/2+3=0$ $plane2:=z+x/2-3=0$ Because of symmetry, I confine my bounds to ...
0
votes
2answers
394 views

random graph's #edges based on probability

If probability of occurrence of edges is 1/2, then will there be n c 2 * (1/2) total edges. Does this applies irrespective of where edges do occur.
0
votes
2answers
42 views

Abnormal graph curve explanation? Exponential?

I am conducting research on a plot of data. Most appear linear, as expected, but one series was a surprise. One plot has a more accelerated growth curve - and I'm wondering why? Here is an image of ...
1
vote
2answers
48 views

Plotting the equation $x - {(\cos(x) + i\sin(x))^{ix}} = 0$

I would like to plot this function: $$x - {(\cos(x) + i\sin(x))^{ix}} = 0$$ I remember about $\cos(x) + i\sin(x) = e^{ix}$, so this can be written as $$x - {(e^{ix})^{ix}} = 0$$ or maybe better $$x ...
4
votes
1answer
46 views

Plot of $n$ concentric circles at once?

While we plot the Equation of $$(x^2+y^2-1)=0$$ we get: While we plot $$(x^2+y^2-4)=0$$ we get: So What will happen if we plot $$\prod\limits_{i=1}^{i=n} \Big({(x-a)^2+(y-b)^2-i^2}\Big)=0$$ ...
0
votes
1answer
43 views

Find the range of this function [closed]

How do you find the range of the following function, please? $$\frac{2x^2 + 20}{x^2 + 5}$$
0
votes
1answer
256 views

Calculate closest point without calculating hypotenuse or linear length in 2D space.

Given $n$ number of $(x, y)$ points, I want to find out which is the closest (linear distance) to the point of origin $(1, 1)$. Both $x$ and $y$ will always be positive integers. Due to the magnitude ...
1
vote
1answer
12 views

Reading a graph with irregular intervals

This graph represents a large range along the x-axis, but I'm unsure how to read such a graph reliably. For instance, if I wanted to find 2 on the x-axis, what vertical line would I use, and more to ...
1
vote
1answer
17 views

Find formula structure for a complex function

I am looking to find the function formula structure of a repeating function like the one in the image linked below.... Something that repeats indefinitely (like a sine wave) on the X-axis. Anybody ...
3
votes
2answers
160 views

How to mathematically color the regions bounded by a parametric curve?

Usually, if an implicit equation $F(x, y) = 0$ defines a curve (or curves) on the x-y plane, then we can use the inequalities $F(x, y) < 0$ or $F(x, y) > 0$ to color the regions bounded by the ...
0
votes
0answers
41 views

How do I plot a function like this in cylindrical polar coordinates?

Considering that $R = (x^2 + y^2)^{1/2}$, $x = R\cos(\phi)$, $y = R\sin(\phi)$, plot: $$R(\phi) = \left(\dfrac{(\cos\phi)^{1/2} + (\sin\phi)^{1/2}}{ \cos\phi + \sin\phi}\right)^2$$ Have tried to ...
0
votes
2answers
138 views

Joining two graphs

Suppose I have $f_1(x)=x$ And i restrict its domain as $\color{blue}{(-\infty,0]}$ using $g_1(x)=\dfrac{x}{\frac{1}{2\left(x-0\right)}\left(x-0-\left|x-0\right|\right)}$ Resulting in : Now, ...
3
votes
2answers
58 views

Plot of $y=x+0\sqrt{-x}$ (and WolframAlpha vs Desmos)

To plot the graph of $y=x+0\sqrt{-x}$ : Do we have to first find out the domain of $y$ which is $y \in ( -\infty,0 ]$ ? $\color{blue}{\text{[Case 1]}}$ (that's what I do) Or do we solve the ...
8
votes
1answer
1k views

Very interesting graph!

I found a VERY interesting graph on http://www.xamuel.com/graphs-of-implicit-equations/. It looked very, very cool, but the equation of the graph is so simple! Here is the image of the graph: My ...
1
vote
3answers
29 views

Given $f(x)= \frac{1}{4}(x+4)^2-2$ Find vertex, $ y$ intercept etc.

Given $f(x)= \frac{1}{4}(x+4)^2-2$ Find: vertex, $y$-intercept, $x$-intercepts (if any), axis of symmetry What I have so far: Vertex: $(-4,-2)$ $y$-intercept: $(0,2)$ $x$-intercept: $2$ Axis of ...
1
vote
2answers
2k views

General Cartesian/Rectangular Equation for Polar Rose ($r=\sin(k\theta)$)

How do I convert the Polar Equation $r=\sin(k \theta)$ to Cartesian Equation? I understand that $r^2=x^2+y^2$ and that $x=r\cos\theta$ and $y=r\sin\theta$, but no matter how I try to arrange them it ...
1
vote
1answer
30 views

Graphing function with polar coordinate

I am studying polar coordinates and I am not understanding what's the practical method for graphing this relation: $$r = \frac{1}{2} + \sin \theta, \text{for } 0 < \theta < 2\pi$$. I plotted ...
0
votes
1answer
355 views

What is a moving average system?

Can someone elaborate on what a moving average system is? I know that the system is defined as: $$y[n] = \frac{x[n] + x[n-1] + x[n-2]}{3}$$ How would we draw $y[n]$ given that we have a graph with ...
1
vote
1answer
641 views

Plotting power-law fit in cumulative distribution function plots

In "Power-law Distributions in Empirical Data", the authors give several examples of alleged power-laws. For instance, they plot node degree distribution of the Internet like this (p. 24): where ...
1
vote
3answers
42 views

Can we determine uniform continuity from graphs?

Can we know from the graph of a function that whether the function is uniformly continuous or not? If the set on which the function is defined is not compact, so what one can say in that case?
0
votes
2answers
44 views

From the graph find the number of solutions.

The figure below shows the function $f(x)$ . How many solutions does the equation $f(f(x))=15$ have ? $a.)\ 5 \\ b.)\ 6 \\ c.)\ 7 \\ d.)\ 8 \\ \color{green}{e.) \ \text{cannot be determined from ...
3
votes
2answers
41 views

plot graph of function $f(z)=\frac{1+z}{1-z}$

I am not able to plot graph of function $f(z)=\frac{1+z}{1-z}$. can anyone tell me how to do this without using any software?