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

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2answers
67 views

For a complex number $c$, how does a plot of $c^{-4},c^{-3}, c^{-2}, c^{-1},c^0, c^1,\dots, c^4$ look like?

I am on the road so can't test it for myself: what would happen if I took a complex number $C = a + bi$ and plotted the following in the complex plane; $$C^{-4}, C^{-3}, C^{-2}, C^{-1}, C^0, ...
0
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1answer
23 views

Area of a triangle - straight lines

Question: What is the area of the triangle formed by the line $x + y = 3$ and angle bisectors of the pair of straight lines $x^2 - y^2 + 2y = 1$. Well I really have no idea how to even start the ...
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1answer
14 views

Plot the points and find the slope of the line passing through the pair of points. [on hold]

How to plot the points and find the slope of the line passing through the pair of points? (-2,1)(-4,-5).
1
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0answers
36 views

Graph of f(x) = the first number in the decimal expansion of x

I'm a bit confused about the answer given in the textbook. I take the definition of 'the first number in the decimal expansion of $x$' to mean simply the first number in its base $10$ ...
-2
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0answers
38 views

Straight lines - pair of lines [on hold]

Question: Let PQR be a right angled triangle with right angle at P(2, 1). If the equation of the line QR is $2x+y=3$, then the equation representing the pair of lines PQ and PR is: a) $3x^2 - 3y^2 + ...
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1answer
16 views

Area of a parallelogram - graphic

Question: What is the area of the parallelogram formed by the lines $y = mx, y = mx+1, y = nx, y = nx+1$? a) $\frac{|m + n|}{(m - n)^2}$ b) $\frac{2}{|m + n|}$ c) $\frac{1}{|m + n|}$ d) ...
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1answer
17 views

Straight lines - point of intersection

Question: Two rays in the first quadrant: $$x +y = |a|$$ $$ax - y = 1$$ intersect each other in the interval $a \in (a_0, \infty)$, the what is the value of $a_0$? I don't even understand where to ...
0
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1answer
17 views

Find a function matching this scheme

As I'm building a model, I need a function equals to $+\infty$ in 0, $-\infty$ in R and 0 in $\frac{R}{2}$. So it will looks like this (sorry for this bad drawing I'm at work). It definitely looks ...
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0answers
24 views

Logic behind Force-directed graph drawing/layout

Here are the prerequisites for what I'm trying to do: I have n nodes (rectangles) in a 2D plane, that are evenly spaced (can have any x/y coordinates) Each node has width w and height h (each node ...
3
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1answer
38 views

Does this graph depict a log scale?

I'm a freelance editor and this graph is in a report and labeled as a log scale. (The version you see is my revision that removes the words "log scale".) The client insists that it is a log scale, ...
2
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0answers
11 views

Plot implicit equation in sub-quadratic time complexity

It is fairly straightforward to plot an explicit equation such as $y=x^3+3x^2+2x+5$ in linear time, because you can just iterate through all $x$ in your graphing space and use the equation to ...
3
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2answers
89 views

Behaviour of the function $\ln(1+ x^2)$

Thus function has derivative equal to: $\frac{2x}{1+x^2}$. This indicates that it will flatten out while approaching infinity, ie, should have an asymptote. Yet, the function does not have any real ...
2
votes
1answer
94 views

How to solve $\tan x=x^2$ in radians?

How to solve $\tan x=x^2$ with $x \in [0, 2\pi]$? I try with trigonometry and many ways but the numerical solutions seems to be difficult.
2
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2answers
116 views

Plotting a polar curve

The question is, to generate a polar graph using a graphing utility, and to choose parameter interval so that the complete graph is generated. $$r=\cos\frac{\theta}{5}$$ To find such an interval, we ...
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2answers
25 views

Graph of $\log_2(2-x)$: what is wrong in my transformational approach?

In the graph of $\log_2(2-x)$ can I have the transformational approach of $\log_2 x$ >> $\log_2(-x)$ >> $\log_2(-x+2)$ or $\log_2(2-x)$ but after all this graph comes wrong but with differential ...
1
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2answers
19 views

Graphing the secant function, $y=2\sec 2\theta$

I am asked to graph the following equation $y = 2 \sec {2\theta}$. Since the equation just has a $ 2\theta$ after the secant, is it correct to say that there is no phase shift? If I would start ...
1
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1answer
27 views

Basic graphing - plot v = 10i +4

So I have the function $v=10i+4$ where $v$ is the horizontal axis and $i$ is the vertical axis. Please excuse me for such a basic question but I can't work out how to draw this function. I figure if ...
0
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1answer
18 views

Algebraic Equation Vexation

I was asked to help my sister with a bit of precalculus homework and completely drew a blank upon encountering this problem. I believe it was asking to "balance the equation, and set the answer to ...
1
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2answers
23 views

Graphing - area of a triangle

Question: If the area of a triangle formed by the points $(2a,b), (a + b, 2b + a), (2b,2a)$ is $\lambda$, then what is the area of the triangle whose vertices are $(a+b,a-b),(3b-a,b+3a) and ...
1
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0answers
66 views

Is there a name to this equation: $(y - a|x|^b)^2 + (cx)^2 = d$?

While doing a survey of the various equations that generate the universal love symbol, a heart curve, I find that many fit into this parametrised form: $$(y - a|x|^b)^2 + (cx)^2 = d $$ Where   ...
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4answers
41 views

How to determine the periods of a periodic function?

I am aware of the other similar questions but was not able to figure out what I want to know from those question thus posting it here. Given a periodic function $f(x)=sin(x)$, Why is the period ...
0
votes
1answer
12 views

Method for finding function from graphs

I have a linear line on a graph that intersects the y axis at 0.1 and the x axis at 1. Very simple, however for the life of me I can't remember the process for finding the function expression. By ...
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1answer
23 views

Is the following graph having two local minima

https://www.desmos.com/calculator/abuvb1zdkb I think yes, the main question i think is of the definition of neighbourhood For a function with domain $(-\infty, -3)\cup (3, \infty)$ $ $ Is -3 in ...
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1answer
13 views

Equation for a Vector Field Spiraling to a Point

I'm building a generative animation and one of the things I'm trying to achieve is a vector field that spirals towards a point. I've discovered ...
2
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2answers
55 views

If a one-to-one function's inverse is the same what must be true of the graph of f?

As a followup to this question. I'm trying to determine what must be true of the graph of $f$ in these cases. I've examined the two functions $f(x)= x$ and $f(x)= \frac{1}{x}$ and I'm not seeing any ...
0
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0answers
32 views

How to calculate similarity between two Manhattan skylines

Forgive me if its the wrong place to ask this question: I have two graphs. On both, the x-axis is simply a position 1 to 1000000 equally spaced. The y axis is a frequency. The graphs I have generated ...
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3answers
22 views

Formula for a vertical cosine graph

I was looking at Cosine and I thought it was cool, I was wondering what the formula for a horizontal version of it would look like. A graph for Something like this :
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1answer
32 views

Plot shape with its control net

In "Ming-Jun Lai, Larry L. Schumaker. Spline Functions on Triangulations. Cambridge University Press, 2007, p.64", the author plotted a surface and its corresponded control net: For my thesis, i ...
0
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2answers
36 views

Graphs for mod functions

Can someone please teach me how to obtain graphs for the following types of functions: $2+3|x-1|$ $|x-1|+|x|+|x+1|$ $|x-1|-|x|-|x+1|$ $|x-1|^2$ Thanks.
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0answers
76 views

For which real numbers $c$ is there a straight line that intersects the curve $y = x^4 + 9x^3 + c x^2 + 9x + 4$ in four distinct points?

For which real numbers $c$ is there a straight line that intersects the curve $y = x^4 + 9x^3 + c x^2 + 9x + 4$ in four distinct points? I don't quite the understand the solution which is in ...
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0answers
14 views

matlab: cdfplot for relative error

The figure shown above is the plot of cumulative distribution function (cdf) plot for relative error (attached together the code used to generate the plot). The relative error is defined as ...
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1answer
23 views

Marking the roots of a quadratic function in Scilab

I have 2D plotted a simple quadratic function in Scilab and now have to mark the roots with an X. Is there any simple way of doing that? I have written a function that calculates the roots and ...
5
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2answers
449 views

Do odd functions pass through the origin?

An odd function is symmetrical in the 1st and 3rd quadrants. Does this means that it always passes through the origin?
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1answer
21 views

Transformation of graphs of the functions.

How to graph functions like $y=x+\sin x$ or functions having addition or subtraction of different variables?
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1answer
36 views

Why does this algorithm to plot implicit equations work?

This may be an obvious question, but I can't seem to figure it out. I found an algorithm that receives an equation, and in order to plot its graph, for each pixel in the screen, it will replace the ...
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0answers
24 views

Find the expression of a function close to this drawing

I am trying to model mechanical response under constraint in materials, and I know that I need this kind of function if I want my model to be accurate. The point is, I have absolutely no idea about ...
1
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1answer
74 views

How to graph $y=f(x^2)=\sin(x^2)$?

How to graph $y=f(x^2)=\sin(x^2)$? I have substituted as follows: $$\begin{cases} y=f(a)=\sin a\\ a=x^2\end{cases}.$$ Then if I graph this with the coordinate axes $y$ and $a$ I get the ordinary ...
1
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4answers
55 views

Circle - finding the equation

Question: Find the equation of a circle whose center is in the first quadrant; touches the x-axis at (4,0) and makes an intercept of length 6 units on the y-axis. I am getting a faint idea where to ...
0
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1answer
28 views

Find the slant asymptote for $x= \dfrac{3t}{1+t^3}$, $y= \dfrac{3t^2}{1+t^3}$

I am geting $y=-x$, while the answer $y=-x-1$ What i did is to write $y = tx$ and as $t$ goes to $-1$. $x, y$ go to $\infty$, hence the asymptote is $y=-x$ Where did i go wrong.
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0answers
18 views

How to plot decimals on a line graph?

Trying to plot 56.8, 113.6, 170.4, 227.2 and 284 on the x axis of a line graph, what scale should I use? And should it start at 0?
2
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3answers
33 views

How to go from this equation to the equation of an hyperbola

I've seen that $x*y=1$ graphs an hyperbola, but I am struggling to get that equation to the form $\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$. How can I do this? Ultimately, what I want is to be able to ...
3
votes
1answer
50 views

How is equation art created [duplicate]

A friend of mine sent me a Wofram Alpha link to a parametric curve that creates a detailed drawing of a game character. The parametric equation that draws it is about ~9 screens tall on my ...
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0answers
70 views

Counting number of perfect matching in bipartite graph. [duplicate]

Graph G is bipartite graph, I want to just count number of perfect matching. Is there any algorithm exist using combinatorial+graph theory, by which i cant count this. I tried by traversing the graph, ...
3
votes
2answers
259 views

What is a French curve, as mentioned by Feynman?

I'm reading "Surely You're Joking, Mr. Feynman!", he says: I often liked to play tricks on people when I was at MIT. One time, in mechanical drawing class, some joker picked up a French curve (a ...
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1answer
39 views

What is the graph of $y = \sin n$ and why is it different from the graph of $y = \sin x$?

I have downloaded a book about Calculus from MIT OCW. In that book, there is a section "A Thousand points of Light". (You can download the relevant section from here.) In that section, it is written ...
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0answers
18 views

Tikz: how to plot arcsec and arccos? [migrated]

It is easy to plot arctan and arccot, but got inverse sec and csc functions, It seems difficult. Can anyone do it?
1
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1answer
45 views

Could not find equation of function from data

I have a problem to find equation of function of my data: 0.00 0.007 0.20 0.041 0.40 0.165 0.60 0.449 0.80 0.816 1.00 0.982 1.20 0.741 1.40 0.212 1.60 -0.362 1.80 ...
0
votes
1answer
25 views

Rewrite the following surface so that I can graph it.

$z = \dfrac{1+x^2}{1+y^2}$ $ $ I want the part of the surface above the square $|x|+|y|\leq 1$ $ $ OR we can write this square as $-y<x<y$ and $-1<x<-1$ $ $ I have spent hours trying ...
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0answers
44 views

Function's graph sketch

$f(x) = x+9$ $g(x) = 2x-3$ I need to draw the sketch of $\min(f,g)$ and $\max(f,g)$. I tried: http://sketchtoy.com/62375984 The yellow is the min and the blue is max. The lines should be ...
3
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1answer
49 views

Sketching a surface

If $${\bf F}=2y{\bf i}-z{\bf j}+x^2{\bf k},$$ and $s$ is the surface of the parabolic cylinder $y^2=8x$ in the first octant, bounded by the planes $y=4$ and $z=6$, evaluate $$\int_S{\bf ...