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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1answer
60 views

How do I graph acceleration?

I have written some java code for the calculation of some various acceleration and etc. type data. I am now trying to graph that data so I can pull specific data over a time line. The values I have ...
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1answer
17 views

parabola focal width

What is the focal width of the parabolic equation $y=x^2-8x-18$? I have pretty much all of the other vital numbers (vertex is $(4,-34)$, focus $(4, -\frac{87} 4$)) but am having a problem figuring ...
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2answers
26 views

Is there any software that can estimate a matching function for a set of plot points?

I have a set of 2D coordinates that represent a curve, and I'm struggling to find a function that roughly matches them. Is there any software (free, preferably) that can fairly accurately guess a ...
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0answers
24 views

Is my graph correct?

My problem told me that: Let $S$ be the surface described by the equation in cylindrical coordinates $z = r^2$, and the inequality $0 ≤ z ≤ 4$, oriented such that the unit normal vector points ...
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4answers
48 views

Formula for defining a curve

I am attempting to come up with a formula to describe something like the following: I need the curve to start from 90% on the left side and it needs to hit 0% at the five year mark on the right. ...
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2answers
49 views

How to get the equation of this and plot it?

I was playing Mine Craft when I thought of this idea. first I mention some explanation : In this game there are creatures named villagers and also some named zombies. If a zombie hits a villager ...
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2answers
94 views

Changing the angle of the vertical and horizontal axis of Sine curve

Suppose we have $f(x)=\sin{(x)}$ The plot of $f(x)$ : Suppose I want to modify the graph by : Changing the angle of horizontal axis: (Plane rotation...so both horizontal and the vertical ...
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3answers
56 views

Equation of a … 3D object???

(Stupid question...) Well we can represent a point as something like $P(a,b,c)$ We can represent a line as $\dfrac{x-a}{p}=\dfrac{x-b}{q}=\dfrac{x-c}{r}$ We can also represent a plane as ...
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1answer
1k views

What is the flaw in my thinking for the graph of this function?

Consider the map $$ f: \mathbb R^2 \to \mathbb R, (x,y) \mapsto x^3 + y^3 + xy$$ This defines a surface in $\mathbb R^3$. Let's consider some level set $f(x,y) = c$: (see here page 67) I think ...
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3answers
93 views

WolframAlpha wrong(?) graph

I had a question to plot a graph of $\space \space\LARGE y=x^{x^{x^{x^{...}}}}$ Which (according to me) is equivalent to $\large y=x^y \Rightarrow y^{\frac{1}{y}}=x$ So i plotted them in ...
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0answers
31 views

Could someone explain to me why the range of the graph is R\(0,5]

I am trying to help my brother with his exam preparations, and we came across this question and found the answer a little confusing. Here is the graph and the range, taken from the answers page of the ...
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1answer
84 views

Why does the plot of the legendre symbol of $x^2 - y^2$ over a finite field look rectangular

The small top-left thing is a plot of the legendre symbol of $x^2 - y^2$ over $\Bbb F_{37}$. The thing in the middle is plot for $\Bbb F_{587}$. The thing on the right is a plot of the legendre ...
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1answer
17 views

How to graph the intersection of two surfaces

Another way of asking this is: How would one graph a 1 dimensional line (the intersection) in a 3 dimensional space. Some context for the question: Let's say I have two spheres ...
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0answers
32 views

following system of inequalities

Graph the following system of inequalities. $$x+2y\leq 12$$ $$2x+y\leq 12$$ $$x\geq 0 , y \geq 0$$ I just need to know how Can show the augmented matrix that describes the situation
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2answers
32 views

Graph the following system of inequalities

Graph the following system of inequalities. Show (by shading in) the feasible region. $$x+2y\leq 12$$ $$2x+y\leq 12$$ $$x\geq 0 , y \geq 0$$ I would like to know how to graph these ...
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3answers
40 views

Graph and domain of $\frac{2}{7+\sqrt{x}}$

How to sketch the graph of $\frac{2}{7+\sqrt{x}}$? Can anyone give me some hints ?
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3answers
46 views

Rotate the graph of a function?

How do I rotate a graph of a function around a point, and show it in the related equation? An example could be $f(x)=\lvert x\rvert$ (absolute Value) and $f(x)=x^2$
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6answers
144 views

Why do the equations $Ax + By + Cz= D$ represent planes in $\Bbb R^3$ and not lines?

I was wondering why $$Ax+By+Cz=D$$ represents a plane in $\mathbb{R}^3$, because from my perspective it seems that it could simply also represent a line in $\mathbb{R}^3$. And, yes, I do acknowledge ...
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2answers
53 views

Why can't $x$ be negative in $x^{\ln{y}}$

According to wolfram alpha, the domain of $x^{\ln{y}}$ is $x>0$ and $y>0$ but putting $(-1,1)$ for $(x,y)$ I get a perfectly fine answer of 1? $y>0$ makes sense, since $\ln{y}$ is only ...
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1answer
21 views

Replicating cosine/sine graph, but with reflections?

Replicating a cosine graph with sine, given transformations? This is an extension question of my previous post. Say I have an equation like $y = 7 \cos(0.96(x-3)) + 11$. How would I find the sine ...
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0answers
29 views

How do I visualize an $n$-dimensional function?

How do I visualize the concept of a function that has more than three dimensions in the context of noise functions? I understand that a one-dimensional function as a function that can be plotted in ...
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1answer
24 views

Replicating a cosine graph with sine, given transformations?

Say I have a cos function, $y = 1.2cos(0.503x) + 5$ And say I want to replicate it using sine, so expressing the above function in sine so that it gives "the same wave". How would I do this? I know ...
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0answers
9 views

Is it possible to find the ending angle of an arc with the start/end point, start angle, and subtended angle?

So I am reading some data and the data comes in line by line like so. Ex: ...
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0answers
29 views

Marking iterations on Cobweb / Staircase diagrams

In the below cobweb diagram I am interested in why the iterations $( x_1,x_2,x_3)$ are marked when the 'cobweb' intersects the line $y=x$. Image: http://i.stack.imgur.com/iiYST.png For example, why ...
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1answer
34 views

Given a set of sets of points, can one determine if a straight line exists that intercepts through a point in each set, and the line's formula?

I have a problem where I have a set of sets of points. I need to determine if I can make a straight line that intercepts through one point in each set of points and the formula of that line. Is there ...
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1answer
45 views

Math graphs formula finding

For a math assessment we need to make a identical graph of $3\cos(4x)−5$ using $\sin$ instead of $\cos$? Wondering if anyone can find a formula using $\sin$?
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1answer
30 views

Inequalities solved by considering areas

So basically, I've figured out the first two parts of the question, and I really need help with part b. I'm not sure how to tackle the question, nor where to begin. Can anyone help me? Please. All ...
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0answers
36 views

multiple parabolas repeated hotizontally

I've been trying to write/find an equation which gives me ability to introduce dips on a parabolic graph on demand, basically, change a constant value or add a piece of equation to the original one to ...
3
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3answers
42 views

Plotting $|x - y| \leq 1/4$

I'm trying to plot $|x - y| \leq 1/4$ I've reduced this to $|x - y| \leq 1/4$, and then deduced via plugging in points that there should be two lines, one with y-intercept 0.25 and another with y ...
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0answers
39 views

How to plot $\int\frac{\mathrm{d}y}{W(-e^{-y^2/2-1})+1}=x$ in Matlab?

I would like to plot in Matlab the following implicit equation: $$\int\frac{\mathrm{d}y}{W(-e^{-y^2/2-1})+1}=x,$$ where $W(\cdot)$ is the Lambert $W$ function. I am trying to plot it symbolically ...
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2answers
75 views

Why is $f'(c) = \text{does not exist}$ a critical point?

In my lecture the prof wrote that when the derivative does not exist at a point it is also a critical point I can understand that $f'(c) = 0$ indicates that we have a flat place on our curve, so ...
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0answers
18 views

How to go about drawing slices and projections of iterated integrals

I have no idea how to go about drawing/graphing slices parallel to an iterated integral. Specifically this one: Triple Integral: $$\large{\int_0^1 \int_y^1 \int_y^x xe^{z^2} dzdxdy}$$
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0answers
16 views

Drawing slices and projections of an iterated integral.

I'm having a rough time visualizing and graphing the slices and projections of this iterated integral: $\int \limits _0 ^1 \int \limits _y ^1 \int \limits _y ^x x \mathbb e ^{z^2} \space \mathbb d x ...
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2answers
47 views

How to improve visualization skills (Graphing)

Okay, so my problem is, that I have difficulty visualizing graphs of functions. For example, if we have to calculate the area bounded by multiple curves, I face difficulty in visualizing that how the ...
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1answer
13 views

What is the formulae to draw a straight between the given ratio?

when $X_{min}=50, Y_{min}= 1.0$ when $X_{max} > 50, Y_{max}= 1.5$, where $X_{max}$ varies from $51, 52, 53, \ldots$ What is the value of $Y$ at any given point fo $X$? If $X_{min}$, $X$ & ...
2
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1answer
10 views

Equation for sinusoidal wave with fixed wavelength and amplitude

I am a programmer. I am writing a program in which I need to show a graph plotted to the user when the user adjusts two sliders, which are the amplitude and wavelength of the wave, say...
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2answers
39 views

Function Composition Thinking Problem

Here is the question: A banquet hall charges $\$975$ to rent a room, plus $\$39.95$ per person. Next month they will offer a $20\%$ discount off the total bill. Determine two equations, one for ...
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2answers
32 views

Finding two functions $f(x)$ and $g(x)$

I am not sure how to approach this question. It asks to find $f(x)$ and $g(x)$ such that $h(x)=f(g(x))$, for each function: a) $$h(x)=\sqrt{x^2 + 6}$$ b)$$h(x)=\frac{1}{x^3}-7x+2$$ If someone ...
0
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1answer
22 views

Determine the value of combined functions with square roots

The question I have is to determine the value of $f(g(x))$ given $f(x)=\sqrt{16-x^2}$ and $g(x)=x^2$ I know generally how to tackle these kinds of questions, but I am not sure what to do when there ...
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3answers
30 views

Find the domain of combined functions

I have a question asking to find the domain of $g(f(x))$ given $f(x)=2x^2+x$, and $g(x)=x^2+1$. I can easily do these questions in reverse when you have to find $f(g(x))$, but when having to find ...
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1answer
29 views

Draw a line, output equation?

I am looking for an app or computer program that can spit out an equation of a line that you draw. I don't know any programs like this, so maybe someone can help?
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1answer
20 views

Does the function have horizontal or vertical asymptotes?

So I'm analyzing some functions here and I need to determine whether or not they have horizontal or vertical asymptotes. The equations are: $f(x)=260$ $g(x)=1+24(0.9)^x$ $h(x)=f(x)/g(x)$ Now ...
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2answers
17 views

Horizontal and Vertical Asymptotes of functions

So I'm completing a chart analyzing the different properties of three different functions: $f(x)=\log(x^2+6x+9), g(x)=\sqrt{x^2 -1}$ (sorry not sure how to do square roots on here), $h(x)=f(x)(g(x))$ ...
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4answers
68 views

If the range of a function is $[a,b]$ ,where $a,b \in \mathbb N$ ,find $f(a+b)$.

Let $f(x)= (x+1) (x+2) (x+3) (x+4) + 5$ where $x \in [-6,6]$. If the range of this function is $[a,b]$ ,where $a,b \in \mathbb N$ ,find $f(a+b)$. ATTEMPT: Sketching the graph the we know that ...
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0answers
29 views

How is this an untable limit cycle?

I am investigating the Lorenz equations and in MATLAB I have plotted a case with $\sigma = 10, b = 8/3, r = 21$ and I have this phase portrait: However I am not exactly sure how this is an unstable ...
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2answers
20 views

How would the following graphs differ in shape?

This is a mechanics question but is pretty much mathematical so I figured I should post it here. If I had a particle dropped from rest and it had resistance $mkv$ where mass is $m$, $v$ is ...
0
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1answer
81 views

prove that the equation has just one root.

prove that the equation $$2^x + 3^x + 4^x - 5^x =0$$ has just one root. ATTEMPT: Write $2^x + 3^x + 4^x = 5^x$. By sketching the graphs it is confirmed that they will intersect at somewhere ...
2
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3answers
50 views

Fourier series sketching

Whenever I am asked to draw fourier series, is it correct to first draw the function on the interval first (in this case 0<= x < pi), then extend the the graph to the desired interval ...
2
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2answers
56 views

How would I make a graph for $\sqrt{x+1}-3$

I have to make a table for $\sqrt{x+1}-3$ and I can't figure out how to find the $x$ values. I know that I have to get the middle section to equal perfect squares, which are $0,\ 1,\ 4,\ 9$ but I ...
4
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4answers
78 views

If $f'(c) \neq \frac{f(b)-f(a)}{b-a}$, then find number of such $c$.

Let $f(x)=x^3+3x+2$ and $x=c$ is a point such that $$f'(c) \neq \frac{f(b)-f(a)}{b-a}$$ for any two values of $a$ and $b$, where $a,b$ and $c \in \mathbb R$. Then find the number of ...