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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25 views

forbidden chromatic polynomial

We wish to show below chromatic polynomial are not exist; It means that we couldn't find any graph that has one of these chromatic polynomial 1- $\ k^5 - 4k^4 + 8k^3 - 4k^2 +k$ 2- $\ k^4 - 3k^3 + k^...
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1answer
27 views

MuPAD: plot sum of list elements

I am receiving an unclear error when trying to plot partial sums of elements of a list in MuPAD. Any suggestions would be appreciated. ...
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0answers
7 views

Mupad Scatterplot operand is invalid

Could someone please explain the following error? I am trying to plot (0,0) and (1,1) on a scatterplot in mupad. ...
2
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3answers
26 views

How to draw the graph of the optimised function in linear programming

Ok, I don't know if I am just over thinking this, but I have been tearing my hair out trying to think about this. I have looked at plenty of linear programming examples and solutions online and I can'...
2
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1answer
66 views

How to graph $\frac{(x+3)}{(x+1)}$?

I'm not looking for plotting values. I mean something which can be done without it. For example, for the function $f(x) = mx + b$, we can use the slope $m$ and the y-intercept $b$ to easily graph the ...
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3answers
57 views

What is the logic behind the method used to shift a graph horizontally? [duplicate]

I understand why we add or subtract from $f(x)$ to move the graph vertically. To move it up, we move all the values up by adding whatever constant value we want. However, when it comes to horizontal ...
2
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2answers
64 views

Sketch the heart and indicate its orientation with arrows $ r = 1 - \cos(\theta)$. Find the area enclosed by the heart

Hi all I am trying to figure out how to sketch the heart. Here is what I have tried so far: $$r = 1 - \cos(\theta) \\ r(r = 1 - \cos(\theta)) \\ r^2 = r - r\cos(\theta) \\ $$ Use the fact that $$r =\...
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0answers
19 views

Function for asymmetrical pyramid with a rectangular base

I would like to derive a single function for a pyramid (corners can be rounded) that has it's tip always centered on x=0,y=0 and the size and position of the base - dynamic, depending on the variables....
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1answer
48 views

A graph G which can’t be painted properly in 2000 colors

A graph G which can’t be painted properly in 2000 colors (i.e. any two adjacent vertices have different colors) is given. The graph is properly painted in 2016 colors. Prove that a path of length 2000 ...
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0answers
37 views

Graphing complex numbers on Casio fx-9750 GII

I have a Casio fx-9750GII, I'm starting to get to grips with just how useful it can be. For those familiar with it you will be aware it can graph functions. However I noticed when looking through the ...
3
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2answers
42 views

Given the equation of a line, travel X points along it.

I have the equation of a line: $$y=\frac{7}{4}x\ +\frac{9}{2}$$ I want to find the point 4 units along the line, starting from the point $(-2,1)$. I tried using Pythagoras and forming this equation:...
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1answer
29 views

Does $f(x) = \frac {1}{(tanx)^2}$ has any x-intercepts?

I want to draw the following function $$f(x) = \frac {1}{(tanx)^2}$$ My intuition tells me that it does not have any x-intercepts because the numerator will never equal to zero but the online grapher ...
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0answers
16 views

Graph method for representing multiplicity of solutions

Inspired by Degenerate zeroes Fundamental theorem of Algebra In Cartesian coordinates if a root has a multiplicity of even then it "bounces" back up from the $x$-axis, if the root has a multiplicity ...
0
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1answer
28 views

Find set of values for $k$ with two distinct roots?

Find the set of values for $k$ for which the line $y=2x-k$ meets the curve $y=x^2+kx-2$ at two distinct points. I have started my equation like this: $$x^2+kx-2=2x-k$$ but I need to put it in the ...
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0answers
19 views

Good way to plot coordinate system in computer?

I want to plot a coordinate system rotation in my paper, I want to know what would be a good way to make the plot? The plot would look like:
3
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1answer
50 views

Counting Turns in a Rectilinear Spiral Graph

So consider a rectangular spiral graph which starts at the origin, goes right 1, up 1, left 2, down 2, right 3, ... (in units). How can we tell how many turns there have been given a point? For ...
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1answer
14 views

forming log equation from graph points

Okay so I need to form a logarithmic equation from the points (1960,4.7) (1964,5.1) (1968,5.4). I have 'guess and checked' to get the equation 2.7421 log(x-1950)+1.9579, and was wondering if there was ...
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0answers
21 views

How can we find roots of ${x_\mu }=2\mu$?

Let ${c_m}{x^m} + \cdots + {c_1}x - \mu = 0$ where $\mu \in (0,1)$ and ${c_1}, \ldots ,{c_m} > 0$. Suppose ${x_\mu }$ be positive root of this equation. How can we find roots of ${x_\mu }=2\...
4
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1answer
46 views

Finding Solutions (with only pen and paper)

For what least value of $k$ does the equation:$$e^x=kx^2$$ Have 3 solutions? Let $f(x)=e^x$ and $g(x)=kx^2$. For a positive $k$, drawing a rough graph of $f(x)$ and $g(x)$ does show 2 solutions of ...
1
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3answers
81 views

Why Can't I graph $(-1)^x$?

I tried to graph $(-1)^x$ but got nothing. Then I went on and tried $(-1)^{3.2}$ and got -1 as the answer, but when I tried $x=3.3$ instead I got an error. I know that when x is a natural number that ...
0
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0answers
10 views

Graph and Stitch Piecewise Function

I am trying to develop a model to describe the rate of something increasing. It increases 88983 for 1.26s, then stops for 2.3s. It repeats this cycle indefinitely. The best I could come up with is: ...
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0answers
7 views

Let G be bipartite on n vertices

Let G be bipartite on n vertices .Prove that $\alpha=\frac{n}{2} $ if and only if G has perfect matching.. Suppose $X\subseteq A$ and $|X|\gt n/2$ Then every vertex in B must be adjacent to a vertex ...
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0answers
20 views

Geometric interpretation of the nth root of a quaternion?

For ordinary imaginary numbers, $(r,\theta)$ turns into $(\sqrt{r}, \theta /2)$ for the square root and it is similar for higher roots. Is there an analogous interpretation for roots of a quaternion?
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0answers
15 views

How to change position of the axes values of a Sage plot.

I am plotting 2D functions on Sage, and I would like to move the values displayed along the $y$ axis (the ticks) from the left of the axis to the rigth, because they bother me there. I had a look and ...
1
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1answer
14 views

Drawing $D=\{(x,y)| |x-1|+|y-1|\leq \frac{1}{2}\}$ in $\mathbb R^2$

$$D=\{(x,y)| |x-1|+|y-1|\leq \frac{1}{2}\}$$ I know how $y=|x-1|$ looks, and $|y-1|$ but how do I find this? The problem I have is to find $$\iint_{D}|\ln(xy)|dxdy$$. I think I can do this, just need ...
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0answers
8 views

Plot a graph with two inputs and two result

I want to plot a graph with two inputs, transmission rate and scan perido, and the result will also be two results, time of detection and number of detected packets. Shall I use two graphs to plot ...
0
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2answers
32 views

Based on the function graph, in how many points the derivative equals 2?

I need to answer the question in the title for this function graph. [] I see that the derivative is positive in $3$ segments of the graph, and thinking about it as roughly $\frac{\bigtriangleup y} ...
0
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0answers
18 views

Suggestions for plotting data and representing it on a table

I've never been good with graphs so reading up some graphing tips didn't really give me the answers I was looking for. I'm planning to plot some data into a line / scatter graph and unsure how to ...
2
votes
3answers
23 views

Sketching the graph of trigonometric functions involving absolute value function

How do I sketch the graph of $\tan |x|?$ I know that the modulus over $|x|$ can be thought of as the angle (in radians) will always be positive which implies that the angle is always measured anti-...
0
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1answer
42 views

Ratios within sine graph

Line $AB$ goes from the origin $(0,0)$ to the maximum point of the sine graph at $(90,1)$. Line CD is perpendicular to line $AB$ and is at the point at which the distance along this line between line $...
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1answer
23 views

Defining composite of piecewise function

Let $$f(x) = \begin{cases} x+2, -3\leq x \lt-1 \\ x-1,-1\leq x \lt3 \end{cases}$$ I had to find $f(f(x)$ I defined $f(f(x)$ to be: $$f(f(x)) = \begin{cases} f(x)+2, -3\leq f(x) \lt-1 \\ f(x)-1,-1\...
2
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3answers
35 views

how to know spot a repeated root in a graph

The diagram shows a cubic curve passing through (–1, 0), (2, 0) and (0, –8). What is the equation of the curve. So I would have said: $-8 = k(x + 1)(x-2)$ $k = 4$ $y = 4(x+1)(x-2)$ but the root ...
1
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1answer
22 views

Equations of Custom Curves

How would one find a equation or a function to describe a custom curve in a coordinate system? Like for example, when someone presents you with a graph of a repeating curve, how would one find its ...
0
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1answer
23 views

Showing complex transformations in a fluid way

It says it all in the title: I need to show how simple complex transformations (translations and dilations, or even both) affect shapes on the complex plane in a "fluid" way – that is, creating some ...
1
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1answer
36 views

The following graph makes no sense

I have been asked to sketch the graph, from x = −5 to x = 5 of the odd function, $f(x)$, defined in the interval 0 < x < 5 by the formula $$f(x) ≡ \cos( πx/ 10)$$ The results I get are as ...
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2answers
33 views

Smallest distance between parabola and line

Probably a noobish question, but I've got this problem: Two graphs: $y=0.5x^2$ and $y=-2+x$. A vertical lines goes through these graphs in points A and B. What's the shortest possible distance ...
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1answer
26 views

A question about the real line and the Dirichlet function.

Though the graph of the Dirichlet function is non-drawable, I think if we have to draw it in some informal way then it will be two complete lines (instead of isolated points). Here's my reasoning: ...
3
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2answers
34 views

Parametric version of a simple equation

I have a simple relation that I need to plot in a plane. I could do it, but I believe that I don't get the best way. A plane curve is defined implicitely by the following equation : \begin{equation}\...
0
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0answers
21 views

Modeling simple linear equations

This should be pretty simple but I'm blanking on this. I need to model (graph) how path 1 becomes equally as efficient as path 2 as the distance of path 2 increases. distance of path 1 (from A to B) =...
1
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2answers
74 views

What would the equation to this graph look like?

I have an equation built from obscure (step) functions, which I'd like to approximate in standard mathematical functions; it is quite lengthy and produces an odd geometric shape, which I cannot ...
0
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5answers
63 views

Solving equations.

How would you solve these equations and show that they do not intersect each other? $$x^2+y^2=2x-2y$$ $$x^2+y^2=4(x^2+y^2)^{1/2} +y$$ It's isolating a term which I am struggling with. General ...
4
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1answer
34 views

Length of wire needed to graph a function

Question: $$S = {(x,y): \left|||x|-2|-1\right| + \left|||y|-2|-1\right| = 1}$$ If S is made out of wire, find the length of the wire required. I have no clue as to where to begin this question....
1
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0answers
43 views

Graph of a higher-order function

When we deal with functions which work on numbers, we can graph them easily: Just take each of its possible input values and find its corresponding point on one axis, then go straight up in its column,...
1
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2answers
67 views

How to plot this graph $y^3=x^2$

I was solving a problem related to area under the integral. When I got a question with the curve $y^3=x^2$. Now this might seem trivial with plotting calculator and for some without plotting ...
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4answers
30 views

Check if a given coordinate lies in path of a ray (coordinate geometry)

As shown in the image I have two known coordinate pair A and B and few other known coordinate pairs (RED blob) on the graph. I need to know if any of the other given coordinates fall in line of the ...
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1answer
11 views

How would you plot this equation (in the complex plane)?

So I am currently looking at how to calculate the integral of a complex function $f(z)$ within a contour $\gamma$. That is, an integral of the form $$ \int_{\gamma} f(z) \; dz $$ Where the contour is ...
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0answers
31 views

Finding best fit curve via 2nd order polynomial

I've set of data points and I need to best fit curve by using $y = a + bx + cx^2$. I know the method of finding $a,b$ and $c$. After getting $a,b,c$; How to use that equation to determine the points ...
2
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0answers
26 views

Graphing/visualizing a complex parametric plot without using mathematica

I am trying to visualize the parametric plot in $\mathbb{C}$ of the curve $\gamma$ defined for $t\in[-\infty,\infty]$ as $$\gamma(t)=\exp\left(-t^{2}+\frac{t}{\sqrt{1+t^2}}i\right).$$ I think I find ...
6
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3answers
529 views

Absolute value graph sketching

Where would you start if you were told to plot: $$||x-1|-1|$$ I looked at just $f(x) = |x-1|$ and noticed that the two equations are: $\pm (x-1)$ for $x \geq 1$ and $x < 1$. Extrapolating then: $\...
2
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2answers
26 views

Converting specific equations from Polar to Cartesian

These different equations are given in Polar and my goal is to plot them in Cartesian coordinate system: $r = \cos(4φ)$ $ φ = \dfrac r {r-1}$, $r > 1$ I am aware of: $x = r \cos( φ )$ $y = r \...