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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1answer
28 views

Contour plot of a parabolic cylinder?

Consider the following function: My book says this is its contour plot: I don't understand why. I would have expected the lines to get closer together as you get closer to the X-Axis, yet they ...
0
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1answer
25 views

Does a graph of this type have a name?

Does a graph of this type have a name? When I say a "graph of this type" I mean where the scales on the axes aren't uniform all the way along.
0
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1answer
32 views

Sketching a curve and finding where the parameter increases

(a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. $$x = ...
0
votes
1answer
22 views

How to label a tenth of a second properly in a graph?

I'm making a graph for a science class, and the x-axis represents every tenth of a second. What's the best way of labeling that axis other than "time (one tenth of a second)", or is that the best way? ...
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2answers
77 views

How to find the equation of the graph reflected about a line?

Consider the graph of $y = e^x$ (a) Find the equation of the graph that results from reflecting about the line $y = 4$. (b) Find the equation of the graph that results from reflecting ...
0
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1answer
116 views

Utility function, plotting indifference curves

I know how to plot indifference curves; simply take the utility function and plot some level curves in $2D$. But how to plot a specific indifference curve, so all bundles on it are indifferent to a ...
3
votes
1answer
60 views

Function - Main Features?

I understand how to draw this function, but what does it mean by main features? any examples for the question below? Consider the function $f : \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = ...
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1answer
24 views

What is the equation of these coordinate points

(2,2) (3,6) (4,24) (5,120) (6,720) (7,5040) I input all of these points into my calculator and ran every working equation none of which fits the equation. These equations include: ...
1
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2answers
34 views

help understanding how to graph a function

I am having trouble figuring out how to graph this function. A(t) = 35e-0.17t When I attempted to graph it my calculator did not display anything and I am not sure how to graph it by hand.
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2answers
69 views

Intuitive characterization of the graph of a twice differentiable function

In high school textbooks, the following characterizations are often found: A function is continuous if its graph can be drawn without lifting the pencil. and A function is differentiable if ...
1
vote
0answers
49 views

What kind of trend, and relationship is this graph?

I need some help with labeling the trend of this graph, and also deciding what the relationship is between the two variables (X,Y). Here is a picture of it: The Excel document can be downloaded ...
0
votes
0answers
35 views

Graphing the sum of a Fourier series in Maple

Periodic function: $g(x) = -1$ if $-2 < x < 0$ $g(x) = 1$ if $0 < x < 2$ Find the Fourier series representation of g(x) My work: I found that the ...
1
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0answers
47 views

Representing distances in high-dimensional space

I have a set of n points $P_i$ $(i=1..n)$ in an d-dimensional space. I can calculate the distances of every point to each other point. What is the best way to represent the distances of these ...
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1answer
22 views

Graphing inverse of parabola, should the domain be restricted or not?

Find the inverse of $f(x)=y=x^2-2x+6$ for $x \ge 1$ The inverse of that above function is $|y-1|=\sqrt{(x-5)}$ The domain of this function requires $x>5$. There are now two functions to graph, ...
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vote
2answers
52 views

Why does the graph not show the vertical asymptote?

I have a rational function in which the denominator is equal to zero when $x = -1.4142135$. So: $f(x)=\dfrac{1}{x + 1.4142135}$ Then the vertical asymptote at $x = -1.4142135$ is pretty clear. But ...
4
votes
5answers
281 views

How to graph/visualize complicated inequalities

I'm having trouble visualizing areas defined by for example, $$ x^2 + y^2 \leq 2y $$ Or $$ (x^2 +y^2)^2 \leq 2a^2(x^2 - y^2) $$ What is the thought process in picturing these regions?
1
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0answers
21 views

Is there any interactive spline fitting software?

I'd like to know if there's any software (freeware) for interactive data interpolation. What I want is to be able to visualize my data on an XY plot and drag the points to see how it affects the ...
1
vote
1answer
30 views

How would I normalize the slope of a line?

Assuming I have different lines with different slopes, I would like to compare the slope of each line as relative to one another. The program I am currently writing needs to compare the slopes of the ...
0
votes
1answer
26 views

How to determine a general arithmetic sequence formula for two intersecting trig function

I have equations out of two trigonometric functions. For example $\cos(4\alpha$) = -$\sin(5\alpha)$ $\tan(0.5\alpha$) = 2 $\sin(\alpha)$ How can I determine a general arithmetic sequence formula ...
0
votes
2answers
85 views

Finding roots with seemingly no algebraic way

I have a graph of: $$y = \frac{x^3 + 2x^2 - 4}{x^2}$$ and I have to find the x-intercept. So I have the equation $(x^2)(x+2)-4 = 0$ And then I don't know what to do. Not sure if we can use ...
-1
votes
3answers
50 views

Find the slope-intercept form of the equation of the line passing through the points. Sketch the line.

Find the slope-intercept form of the equation of the line passing through the points. Sketch the line. (-8,1),(-8,7) (-1,4),(6,4) Progress The slope that I get for number 1 is ...
1
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2answers
73 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
votes
1answer
56 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 ...
1
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0answers
48 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 $10$ ...
0
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1answer
20 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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votes
1answer
21 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
votes
1answer
18 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 ...
0
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0answers
59 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
votes
1answer
44 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
votes
0answers
22 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
votes
2answers
95 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
95 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
votes
2answers
124 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 ...
-1
votes
2answers
27 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
32 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
vote
1answer
29 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
19 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
24 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
97 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
68 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
13 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 ...
0
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1answer
24 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 ...
0
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1answer
30 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
58 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 ...
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0answers
44 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
26 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
33 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 ...
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2answers
53 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.
1
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0answers
97 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 ...
0
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0answers
52 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 ...