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
29 views

What is the area of the region enclosed by the graph [on hold]

I really dont know how i have to solve that. It looks easy but I dont really know. can someone give me a hint
0
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0answers
16 views

Density of points on graph

I have a scatter graph with points placed on it like: I am trying to find an equation that gives me the density of the points on the graph, for example the points on this graph: are closer ...
0
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1answer
13 views

How can I calculate a polynomial trend line where `y` always increases as `x` increases?

Assume the following given coordinates: [0,0],[12,200],[24,2000]. The following equation generates a second order polynomial trend line (at least that's what excel ...
0
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1answer
19 views

Finding the vertical shift of a sinusoidal function

I'm currently studying sinusoids, I've been given a graph with a few key points and have been told to find a cosine function which fits it. When it comes to finding the vertical shift of the graph the ...
0
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0answers
23 views

Position n circles in circular layout

Given an index from 1 ... n, and a fixed width and height of each circle (and a fixed spacing), how would I calculate the center x coordinate and center y coordinate of each node to match the ...
-6
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3answers
45 views

How to sketch the graph of the quadratic function without using a graphing utility? [on hold]

$g(x) = x^2-8$ $f(x) = 1-x^2$ $h(x) = 12-x^2$ $f(x) = x^2+7$ $f(x) = (x-6)^2+8$ $f(x) = (x+4)^2-3$ $g(x) = x^2+2x+1$ $h(x) = x^2-8x+16$
0
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1answer
42 views

Limit of a function containing square root.

Q. $\lim _{x\to 0}\frac{\left(\sqrt{1-cos2x}\right)}{x}$ We can write this function as $\lim _{x\to 0}\frac{\left(\sqrt{2sin^2x}\right)}{x}$. Algebraically we have ...
0
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0answers
3 views

Graphing ratios; non-common denominators for different data series in the same category?

I'm developing custom graphing software for a client and they have a need that doesn't make sense to me mathematically and I was hoping someone could help. They will be graphing the ratio of scrapped ...
1
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4answers
73 views

The sketch of $y=\tan^{-1} \left ( \frac{1}{x} \right )$

For this function, the horizontal asymptotes are easy enough to find. However, I have issue with the point $x=0$. Graphing calculators say that there is a vertical line connecting $y=\frac{\pi}{2}$ ...
0
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1answer
24 views

Log arithmic Equation - Graph curved line

I'm recreating the graph picture below with equations. Using the online graphing tool "Desmos": These are all the equations I have done so far, with there restrictions top stop at specific points. ...
0
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1answer
46 views

Graphing picture equations - Curve Lines

I'm basically trying to recreate the graph picture below. Using a online graphing tool "Desmos": I managed to create the equations for the straight lines and circles for the sunset picture. ...
1
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2answers
33 views

Equations to create this Graph Picture

I'm using a online graphing tool "Desmos" to create the image bellow (sunset). I created the 3 circles to form the sun. Using these equations: However, I am stuck on creating the images for the ...
0
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1answer
38 views

Implicit 3d plot with depending bounds

I would like to plot this plane ($k1,k2,k3$ are constants): $x-k1=0$ such as $x=k1..n$ ; $y=(z-k3+k2)..n $; $z=k3..n$ The difficulty is that second variable y depend on z. I was trying to use Maple ...
0
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1answer
9 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
24 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
22 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
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1answer
17 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? ...
1
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2answers
39 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
26 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 ...
1
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1answer
48 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) = ...
0
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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
33 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.
0
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0answers
19 views

Finding the x-intercepts of a function

Suppose that f(x) has an x-intercepts at (-3,0) and (5,0). Find the x-intercepts for the following graph. y = f(x+9) x-intercepts #1 = x-intercepts #2 = I'm not really sure how to start this ...
5
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2answers
49 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 ...
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0answers
24 views

Computer Software for drawing graphs

I want a graph software which helps us to draw graphs. I mean, I don't actually want a software that computes a graph on giving the function (i already have one). It should be just like paint, ...
1
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0answers
36 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
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0answers
22 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
44 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 ...
0
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1answer
10 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, ...
0
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0answers
42 views

Piecewise defnition, Limits

Volume Discount (excluding tax) Volume ($x) Discount Amount $300≤ x < $1000 3% $1000≤ x < $3000 5% $3000≤ x < $5000 7% $5000≤ x 10% Assume that the volume discounts in the table ...
1
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2answers
50 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
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5answers
261 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
14 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 ...
-5
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1answer
95 views

Is it possible to make a 3dimensional parametric plot of this curve that looks lika a UFO?

The solution set of $$ y (x^2y+y^3-x^2-4y) = 1 $$ Looks like ** How would the parametric plot in 3d look like (in an appropriate intervall)?
1
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1answer
21 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
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1answer
20 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
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2answers
79 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
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3answers
31 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
71 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
38 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
17 views

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

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
38 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
votes
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) ...
-1
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1answer
20 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 ...
0
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0answers
32 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
41 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
16 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
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
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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.