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
880 views

Linear Programming: Three variable graphical solution

A small bank offers three type of loans: housing loans at $8.50$% interest, education loans at $13.75$% interest rates, and loans to senior citizens at $12.25$% interest. Further, it needs to ...
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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
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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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 ...
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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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0answers
22 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 ...
0
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1answer
41 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 ...
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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 $y=\frac{\pi}{2}$ ...
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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 ...
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
594 views

Graphing: Given two points on a graph, find the logarithmic function that passes through both.

Is there such a method to do this? I would like to come up with a logarithmic function (a graph that looks like a square root graph) that passes through two given points. Haven't had any luck in ...
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. ...
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 ...
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 ...
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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
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 = ...
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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
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? ...
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 ...
0
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1answer
269 views

Comparing two plots

I have a program that randomly generates line plots and what I would like to do now is compare two of those line plots and get a measure of 'similarity' between them. Now I feel as if this measure of ...
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: ...
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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.
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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 ...
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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, ...
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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 ...
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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 ...
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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, ...
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5answers
167 views

Graphing $\sin(|x|)$?

I'm confused on how the graph is in both quadrant II and III. If $|x|$ is evaluated first wouldn't all the answers be positive, so that when the range of $|x|$ is plugged into $\sin$ wouldn't the ...
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 ...
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3answers
533 views

Plotting an integral of a function in Octave

I try to integrate a function and plot it in Octave. Integration itself works, i.e. I can evaluate the function g like g(1.5) ...
0
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1answer
347 views

formula for an upwards-sloping convex curve with known endpoints

For a project I am working on, I need a formula that can describe a curve between two known endpoints, where the curve will always be upwards sloping and always convex (or flat). There should be many ...
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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?
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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)?
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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 ...
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 ...
3
votes
1answer
610 views

What is the opposite of logarithmic scale?

If one wants to plot a variable whose value changes drastically, it makes sense to plot its order of magnitude. That way, the smaller values in the plot aren't squished all the way at the bottom. This ...
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 ...
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 ...
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2answers
320 views

What can I deduce from the graph of marginal value?

Homework problem: We have a graph of value: x coordinate number of widgets made. y coordinate value in $. For the first 5 widgets the value greatly increases to $100 and then after 5 ...
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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 ...
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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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1answer
58 views

Graph of the function $f(x)=$the 1st number in the decimal expansion of $x$

Definition: Every decimal ending in a string of 9's is equal to another ending in a string of 0's (e.g., $1.23999\ldots=1.24000\ldots$). Here use one ending in $9$s. Considering the above definition ...