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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Graph sketching trigonometric functions

How would I go about graphing sin(sin(x)) and cos(cos(x))? Without use of a calculator I have shown they are never equal to each other. The only way I can go about it is to plug in values and ...
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1answer
19 views

Plotting a random but continuous line

Hopefully my question makes sense. I would like to generate a function which is continuous at all points. The use of the word "random" is somewhat of a misnomer, since it is not truly random. It must ...
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1answer
18 views

Graph $S$ and its image $f(S)$

$$S=\{z: -1<Re(z)<2\}$$ $$w=f(z)=e^z$$ Graph $S$ and $f(S)= \{w\}=\{f(z)\mid z \in S\}$ My attempt: This is what I think it should look like. Correct me if I'm wrong, but I think the general ...
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1answer
21 views

Intersection between two increasing concave functions

Let $f,g:[0,1]\mapsto[0,1]$ becontinuously increasing concave functions such that $f(0)=g(0)=0$ and $f(1)=g(1)=1$. I wish to know what is the maximum intersection points between $f$ ad $g$. I have a ...
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1answer
27 views

Program to create graph with modified bessel function

$$e =\frac{1}{x}\frac{I_{1}(2x)}{I_{0}(2x)}$$ $$e =\frac{2}{1+\sqrt{1+x²\frac{8}{3}}}$$ $$e =\frac{1}{\sqrt{x\frac{4}{3}}} \frac{I_{\frac{2}{3}}(x\frac{4}{3}^{3/2})}{I_{\frac{-1}{3}}(x\frac{4}{3}^{3/2}...
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1answer
25 views

How to restrict this inequality only to where it is true for all x < y?

While doing some research in game theory modeling, I've come across the following inequality: $$ \frac{x - \epsilon(1+a)}{a} \leq y \leq \frac{x + \epsilon(1+a)}{a} $$ Where $x$ and $y$ are some ...
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2answers
85 views

Is there a site to draw a curve and get the equivalent equation?

I know there are many sites where we can input the equation and get the curve of the function (examples here, here and here). What I want is the inverse: I have an idea of how I want the curve to be, ...
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1answer
30 views

When graphing both X, and Y are fractions

In my instructions, I am told to place the point on the coordinate system. My X, and Y value are $$(\frac 52, \frac 72)$$ at this point I am a little lost. Would I flip it, and multiply it like so? ...
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1answer
47 views

How to graph a Quadratic equation.

I have an equation that goes: $0.0001x^2 - 0.22x + 197$. I'm not asking for the answer, but instead, how can I graph it without dealing with these insanely tough numbers.
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2answers
23 views

Problem with graphical representation of quadratic equation.

I have an equation $x^2 -x =0$ I know, it has two solutions, $x=0,1$ If I plot it using a math software, it shows a straight line passing through $1$, perpendicular to x-axis. (I have plotted, $x^2-x=...
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3answers
72 views

What function looks like a tangent on its side?

Basically, I want a curve that decreases toward a lower limit as x approaches negative infinity and rises toward an upper limit as x approaches positive infinity - It would have this general shape: ...
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3answers
22 views

Property of $e^x \sin x$ composite graphs

Why does the composite graph of $e^x \sin x$ appear to almost be bounded (not in the mathematical sense) by the graph $e^x$ and $-e^x$? I have seen a similar thing with the graph $e^{-x} \sin x$. I ...
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0answers
18 views

Domain and Range of a Nested Radical

The sequence of functions defined by $f_0:x\mapsto\sqrt{x}$ $f_{n+1}:x\mapsto\sqrt{x+\sqrt{x-f_n}}$ Converges absolutely over a specified domain and range to the function $f:x\mapsto\frac{1+\sqrt{...
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2answers
25 views

match limit of different paths on a graph

$\lim_{(x,y)\rightarrow 0}\frac{xy^2}{x^2+y^4}$ if we consider the path $x=y^2$ and get $\lim_{(y^2,y)\rightarrow 0}\frac{y^2(y^2)}{(y^2)^2+y^4}=\lim_{y\rightarrow 0}\frac{y^4}{2y^4}=\frac{1}{2}$ ...
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2answers
45 views

Matlab 3D plots

I am currently in high school and is writing a maths research paper on a calculus problem. In the conclusion, I would like to include a 3D plot of a function I found. It goes something like this: a, ...
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1answer
60 views

Heap tree to Pennant forest

First time poster. I'm having trouble identifying the way to represent a heap tree as a pennant forest, I understand that each pennant is a subtree of the heap but When i looked at an example i simply ...
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1answer
46 views

Find a sine function that intersects at ($y = 0$) for a given $x$

If (for say, visual aesthetics) I would like to plot the graph of a sine wave on a 2D graph that intersects the $x$ axis with value of $y =0$ when $x$ is some arbitrary integer - how would I go about ...
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0answers
24 views

Pressure-Temperature water diagram phase function

I'm trying to find a analytical expression that describes the pressure-temperature function. The function that I want to describe is the pressure-temperature function where the water is in liquid ...
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1answer
36 views

Finding Distance between two coordinates

I am a computer guy, I am making some simulations and try to figure out something. But there is some thing mathematical which I am not able to figure out. This is my whole area of graph(simulation)...
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1answer
30 views

Graphs of functions with arcsin and arccos

I know that to graph $\arcsin x$, I need to only take into account its principal values, that is its image is restricted to $[-\frac{\pi}{2},\frac{\pi}{2}]$. Same with $\arccos x$, its image is ...
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1answer
41 views

Extracting information from the graph of a polynomial

Problem: Below is the graph of a polynomial with real coefficients What can you say about the degree of the polynomial and about the sign of the first three and last three coefficients when written ...
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2answers
46 views

What is the maximum number of persons that may have shaken hands with everyone?

Hi. I am unsure about this question - I have answered n - 1, as we know one of the person dosen't shake hands.
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0answers
32 views

Symmetry in graphs of polynomials

I am learning graph skectching. Its well known that quadratic polynomials over reals are symmetric about their minima/maxima. But today I discovered an interesting result that Cubic polynomials are ...
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1answer
78 views

Is wolframalpha wrong (Plotting inequalities)

I just wanted to plot a simple inequality: $$-x \geq 4$$ and wolframalpha gives me the following plot: But I think it should look like this: Am I correct? If so why is wolframalpha producing such ...
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2answers
39 views

How do I graph these curves?

My teacher taught me this in class but I still don't understand it. Could someone please explain how to graph $y= x +\frac1x$ and $y = x - \frac1x$? Thank you :)
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1answer
35 views

Infinite sum of discrete unit-step signals

Trying to sketch the following signal: $$\sum_{k=-\infty}^\infty (u[k]-u[k-3])(u[n-k]-u[n-k-3])$$ Where $u[n]$ is the unit step signal (the Heaviside function, $1$ when $n\ge 0$ and $0$ otherwise). ...
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2answers
79 views

What does a graph of “A 7th degree polynomial equation with 4 imaginary roots” look like?

The question is "Draw a graph that possibly represents the following situation: A 7th degree polynomial equation with 4 imaginary roots." How would I draw this graph?
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1answer
31 views

How to plot the equation$x(x^2-1)^\frac{1}{3}$?

I would like to plot the function $x(x^2-1)^\frac{1}{3}$. When I do it in a statistical computing package, I dont get anything between $-1$ and $1$. However, when I plot this on google, I get a ...
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2answers
55 views

Find all real solutions: $36x^3 + 6x^2 = 9x$

I am having trouble finding all the real solutions to this problem. I do not undertand how to solve it, and I have a test on Polynomials tomorrow. The problem is "Find all real solutions using your ...
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5answers
85 views

Is the area under this graph finite?

Given the graph of $y=\frac{1}{x}$, and assuming that we limit our graph to the first quadrant, i.e. $x≥0$ and $y≥0$ Is the area under the curve finite? If so, what is the maximum?
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19 views

Question regarding plotting 120,000 points uniformly using log scaling

I have a bit of a strange problem I can't seem to wrap my head around. I am developing a game for the phone as a home project, I have a data-set of 120,000 different 3D points which represent the ...
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1answer
27 views

Problem with converting rotation representations (quaternion, axis-angle, etc)

I have a computer device - a 3D pointer (Sensable Phantom Omni). It returns cartesian position (X,Y,Z) and orientation quaternion (x,y,z,w). Now I have a 3D visualization software (PyMOL) and I need ...
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1answer
42 views

Local max, min and point of inflection of $y= ax^3 + 3bx^2 + 3cx - d$

Suppose $$y= ax^3 + 3bx^2 + 3cx - d$$ has a local maximum at $P_1(x_1, y_1)$ and local minimum at $P_2(x_2, y_2)$. Prove that the point of inflection is the midpoint of $P_1P_2$. I would mention ...
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2answers
25 views

Graphing using derivatives

Sketch the graph of the following equation. Show steps of finding out critical numbers, intervals of increase and decrease, absolute maximum and minimum values and concavity. $$y= xe^{x^2}$$ I ...
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1answer
18 views

How do I find the angle in relation to a horizontal line?

Assuming I have a string of numbers as follow: $x_1 = 112.26$ $x_2 = 111.9419999$ $x_3 = 111.4540002$ $111.0100004$ $110.5565004$ $110.2940004$ $109.8075006$ $109.3955007$ $108.7385004$ How do I ...
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0answers
17 views

Which vertices are adjacent to other vertices in the following undirected graph

I am unsure about this example. It says: Vertices $A$ and $B$ are adjacent, and so are vertices $B$ and $C$. But I think $A$ and $D$ is also adjacent or do I miss something?
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1answer
114 views

Is this graph plot for real?

I came across this equation while surfing through the internet.Is this for real?If it is how is it done?
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1answer
74 views

Calculus: Sketching a graph that satisfies the following conditions

The following question is from our reviewer for our upcoming exams: $\ast$ 3. Sketch the graph of a function $f$ satisfying the following conditions: (i). $-5,-3,-2,-1,0$ and $2$ are the only ...
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0answers
13 views

How to handle $y=0$ values when using logarithmic $y$ scale?

Imagine as example the following 2d data: x = (1, 2, 3, 4, 5); y = (4, 3, 2, 1, 0); I know that $\log(0)=-\infty$ but somehow I would like to "make visible" also ...
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1answer
39 views

Equation of a curved line from a graph

I am trying to calculate an equation to represent the graph attached to this question. It's an extract from a take-off performance graph used in aviation. The second graph shows how it is used. The ...
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1answer
30 views

Average of cosine waves

What looks like the graph of the function $A=E[cos(\omega t)]$, where $E$ means "average" and $\omega$ is a random variable?
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2answers
41 views

How to find differentiation and integration of curves in general?

Graph of function $f(x)$ How do I go about finding integration and differentiation of curves like these which yield other curves?
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1answer
30 views

What is this graphed function with asymptotes at π/2 and -π/2?

I've come across this function with asymptotes at π/2 and -π/2, which crosses the axis at y=1. It doesn't seem to be polynomial or exponential—can anyone figure out what it is? The asymptotes and y=...
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3answers
50 views

How to make a semicircle graph?

What is the formula to make a semicircle graph that is continuous? By continuous I mean like a sine or cos graph but shaped like semicircles one after the other. Thanks
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3answers
53 views

Find the Equation of [closed]

Hi, Can someone help me to find the equation of this graph.I can find equation of parabolas and cubics individually but don't know where should i start.I know This graph can go to the 3rd polynomial ...
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1answer
36 views

Homogeneity of $f(x,y) = \frac{3x^2y}{x^2+y^2}$

Regarding my previous question about the function $f(x,y)$ somebody claimed that $f(ax,ay)=af(x,y)$ is only true for "homogeneous" $x$ and $y$. Does anyone know what "homogeneous" means in this ...
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1answer
32 views

How to find $x$-intercept on TI-83/TI-84 calculator without having to set the bounds for each intercept?

Finding $y$-intercepts is very easy on a TI-83/TI-84 calculator. All you have to do is graph the function and use 2nd $\to$ Trace...
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0answers
71 views

The domain of $\frac{\ln x}{x}$.

I have to find the domain for $f(x) = \frac{\ln x}{x}$ Naturally, $x$ must be larger than $0$ and $x$ can't be $0$ so $x > 0$. But when I graphed the function, it has two "parts", one in the ...
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1answer
54 views

CALCULUS: Sketching a function by given conditions [closed]

Pls help. I'm currently on a struggle with this calculus problem. Thanks in advance.
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3answers
43 views

The decision boundary found by your classifier?

Can someone please explain in terms of "How To" find the decision boundary found by your classifier? If I plot using Octave: plot(theta); I get nothing like I ...