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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State the domain and range of the following graphs.

State the domain and range of the following graphs. Express each domain using interval notation and express each range using set-builder notation. I think I'm beginning to understand using interval ...
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1answer
11 views

On determining a function given a certain parametrization of a point

Imagine we have a parametrization of a particle in 2D space like this http://i.minus.com/iXL64EfdJe6w5.gif How do we go about finding an explicit way to express these functions ($f(x)$ and $g(x)$) ...
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2answers
49 views

Why is there a discontinuity at zero?

For the function $$y = \frac{2x^2}{x-3},$$ I understand the $x = 3$ and $y = 2x+6$ asymptope, but according to the answers in my textbook, there is a discontinuity at the origin. Why is this?
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3answers
65 views

Consider the function f(x)=sin(x) in the interval x=[π/4,7π/4]. The number and location(s) of the local minima of this function are?

This is MCQ of a competitive exam(GATE), Answer is (d) given by GATE , and from other sources ,explanation is (b) somewhere and (d) somewhere , I am going with (b) as minimum at $270$, I have drawn ...
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1answer
8 views

rectangular paddock, dimensions, maximise area it encloses

Having trouble trying to work out a question which involves finding a function to graph evidence of the correct answer, any advice would be greatly appreciated. I am struggling with part 'b' a lot, ...
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0answers
22 views

What does the Graph of ax0 + bx1+cx2+dx3… look like? [on hold]

What does the Graph of ax0 + bx1+cx2+dx3... look like? How do I plot it in mathematica? I don t have numbers for a,b,c.
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1answer
31 views

functions that jump from zero to value k and then decay back to zero

I am looking for functions that are zero for all $x< a$ and then from a suddenly jump to a specified value $K$ and then drop back to zero either quickly or slowly and perhaps even not necessarily ...
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25 views

Functon fitting goes wrong

Let's say I got a some function (let's say it named $B_w$) and I make a curve deped on some parameters. As example ...
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0answers
27 views

Plotting a 4D Dynamical System

Suppose I have a 4D dynamical system. Each axis has a fixed point, and there are orbits connecting the fixed points. It looks something like this: Each $Q_i$ is a fixed point on each axis of a ...
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7 views

creating smooth 2d plot with only a scaled colorvector and (x,y) coordinates | (matlab plotting issue)

I've an issue with visualizing the data in a correct way. I have an array with 3 colums and N rows. ...
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0answers
15 views

How to plot log poisson curve

Given number of failures per time interval is it possible to plot a log-poisson curve? If yes, can someone guide me.
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0answers
18 views

Plot symbolic function in MuPAD

I define a symbolic function in MuPAD as f:=A*cos(omega*t+phi) I'd like to plot (in 2D as function of t) that function for ...
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1answer
33 views

Describing the graph of a function

For my Algebra II class one of the questions was: Describe the graph of the function $f(x) = x^3 - 18x^2 + 107x-210$. Include the $y$-intercept, $x$-intercepts, and the shape of the graph. And my ...
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3answers
39 views

How to find graph of the sum of two functions

Suppose I know the graphs of two functions $f(x)$ and $g(x)$. How can I find the graph of $h(x)=f(x)+g(x)$? What are the rules to be followed ? P.S. In case my question seems silly,at least provide ...
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5answers
2k views

When I was teaching absolute function properties, I suddenly made this question …

I was teaching absolute function properties in a K-12 class. I made this question in my mind. Suppose $f(x)$ is a one-to-one function, and its definition is $f(x)=max\left \{ x,3x\right ...
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1answer
16 views

Determining Whether X or Y is Positive in Slope [closed]

The slope intercept equation reads: y= -1/3x + 5. Therefore, the Y intercept lies on the graph at (0,5). My instinct was for both 1 and 3 to be negative (so to graph the line, move down 1 and to the ...
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1answer
20 views

Setting a Maximum and Minimum Amplitude in Sine graph

I currently have a translated sine graph with the following formula: $$\left(\sin\left(\frac{x}{50 / \pi} - \frac{\pi}{2}\right) + 1\right) \cdot 0.5$$ Which makes a graph like this However I ...
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1answer
45 views

How to draw graphs of functions?

I have knowledge in programming language C++..However I want to draw graphs of various functions such as $\sin\dfrac{1}{x},x\sin\dfrac{1}{x}$ etc. Is there any available software that can be run on ...
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0answers
31 views

Create log-normal on y axis?

I currently have a graph with log numbers on the x-axis and the y-axis goes from 0-100. How can I get it to I guess log normal y-axis as shown in the picture below? Thank you for your help!
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1answer
40 views

What would the formula to this graph be

Below is a graph I want to use to measure loss over heat. A low heat and a high heat will signify a greater loss, whereas an average heat will signify a lesser loss. Loss is left Heat is bottom ...
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2answers
40 views

How do I rate smoothness of discretely sampled data? (Picture!!!)

In the sense that the following curves pictured in order will be rated 98%, 80%, 40%, 5% smooth approximating by eye. My ideas: (1) If the curves all follow some general shape like a polynomial ...
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2answers
36 views

When it comes to using derivatives to graph, do I have all of these steps right?

Perhaps this is a silly question, but I haven't been able to find a clear answer anywhere as to what exactly the steps are for using derivatives to find the shape of a graph (I'm having difficulty ...
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1answer
24 views

Determining the region given by $(x-ay)(x-by)(x-cy)\dots<0$

It's easy to sketch the region given by the inequality $(x-ay)(x-by)<0$ where $a,b\in\mathbb{R}$. A cubic one would take a bit more work but doable nevertheless. But I was trying to find a general ...
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2answers
27 views

Function in Maple giving weird plots

In Maple I have defined a function If I plot within $Q \in [0,100]$ I get but I get the exact same plot with other boundaries and if I use $Q \in [0, 10^{-10}]$ I get How can this happen? ...
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0answers
13 views

How do I get the linked desmos graph to behave how I want it to?

So I have been trying for a while to use and change this desmos graph so that I can graph most any function and rotate it. It already has some ability to rotate the graph. If you go in and mess with ...
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1answer
32 views

How do I find a point on a graph which is equal on both the axis?

I have the equation $ 10^{x-0.7711} = x $. In order to find x, I thought that I'll graph the equation, and the point where x = y, will be the answer. How do I do this? Or is there any other way to ...
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2answers
24 views

Finding first and second derivative of an function with an absolute value

Given the equation $f(x)= |x^2-9|$ where $-4\le x\le 5$, I must find the extremes, as well as the concavities. This I know how to do. The issue is I'm unfamiliar on how to find the first and second ...
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4answers
105 views

When $f(0) = 0,$ is it always true that $G(0) = 0,$ where $G$ is the antiderivative of $f$?

I have a hunch that it is, but it would be nice if somebody could confirm / disprove it for me. Thank you. Edit Is it when the constant of integration is equal to zero?
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1answer
26 views

Shortest path in a hypercube graph

A* algorithm is one of the algorithm which produces a shortest path in a given graph. I am interested in knowing, is there any property of d-dimensional hypercube which allows the parallel computing ...
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2answers
14 views

Centering Text on Image after padding values

I'm creating an Image, the Image has text on it. The text I want it to be center on the Image but the Image has padding values that I assigned. The equation I'm using and the values for the ...
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1answer
55 views

Projection of a 3D spherical function to a carteasian axis

I have a 3D function defined in a spherical coordinate system $(r,\theta,\phi)$, which is written as a product of a radial function $R_{nl}(r)$ and a spherical harmonic $Y_{lm}(\theta,\phi)$ I.e $$ ...
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1answer
37 views

A Sine Wave with a Sine Wave Inside

How do you graph a sine wave that is "squiggly" in the pattern of a sine wave as such that there are points of inflection in the sine wave as if it was a sine wave itself? If anyone can provide a ...
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2answers
70 views

Behavior of $x^2+y^2+\frac{y}{x}=1$.

In my mathematical travels, I've stumbled upon the implicit formula $y^2+x^2+\frac{y}{x}=1$ and found that every graphing program I've plugged it in to seems to believe that there is large set of ...
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1answer
146 views

Nature of roots of a biquadratic equation

(Biquadratic $\rightarrow$ Quartic (degree 4)) The Question: (from a book i am practicing from) Find the nature of the roots of the equation $$f(x) = 45 x^4-144 x^3+146 x^2-56 x+12=0$$ (By nature i ...
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1answer
27 views

Problem with integrating to find volume

I want to calculate the volume of the hyperboloid between the two planes: $hyp:{x}^{2}+1/4\,{y}^{2}-{z}^{2}=5$ $plane1:=z+x/2+3=0$ $plane2:=z+x/2-3=0$ Because of symmetry, I confine my bounds to ...
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2answers
44 views

Abnormal graph curve explanation? Exponential?

I am conducting research on a plot of data. Most appear linear, as expected, but one series was a surprise. One plot has a more accelerated growth curve - and I'm wondering why? Here is an image of ...
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2answers
49 views

Plotting the equation $x - {(\cos(x) + i\sin(x))^{ix}} = 0$

I would like to plot this function: $$x - {(\cos(x) + i\sin(x))^{ix}} = 0$$ I remember about $\cos(x) + i\sin(x) = e^{ix}$, so this can be written as $$x - {(e^{ix})^{ix}} = 0$$ or maybe better $$x ...
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1answer
47 views

Plot of $n$ concentric circles at once?

While we plot the Equation of $$(x^2+y^2-1)=0$$ we get: While we plot $$(x^2+y^2-4)=0$$ we get: So What will happen if we plot $$\prod\limits_{i=1}^{i=n} \Big({(x-a)^2+(y-b)^2-i^2}\Big)=0$$ ...
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1answer
43 views

Find the range of this function [closed]

How do you find the range of the following function, please? $$\frac{2x^2 + 20}{x^2 + 5}$$
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1answer
12 views

Reading a graph with irregular intervals

This graph represents a large range along the x-axis, but I'm unsure how to read such a graph reliably. For instance, if I wanted to find 2 on the x-axis, what vertical line would I use, and more to ...
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1answer
17 views

Find formula structure for a complex function

I am looking to find the function formula structure of a repeating function like the one in the image linked below.... Something that repeats indefinitely (like a sine wave) on the X-axis. Anybody ...
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0answers
42 views

How do I plot a function like this in cylindrical polar coordinates?

Considering that $R = (x^2 + y^2)^{1/2}$, $x = R\cos(\phi)$, $y = R\sin(\phi)$, plot: $$R(\phi) = \left(\dfrac{(\cos\phi)^{1/2} + (\sin\phi)^{1/2}}{ \cos\phi + \sin\phi}\right)^2$$ Have tried to ...
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2answers
139 views

Joining two graphs

Suppose I have $f_1(x)=x$ And i restrict its domain as $\color{blue}{(-\infty,0]}$ using $g_1(x)=\dfrac{x}{\frac{1}{2\left(x-0\right)}\left(x-0-\left|x-0\right|\right)}$ Resulting in : Now, ...
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2answers
58 views

Plot of $y=x+0\sqrt{-x}$ (and WolframAlpha vs Desmos)

To plot the graph of $y=x+0\sqrt{-x}$ : Do we have to first find out the domain of $y$ which is $y \in ( -\infty,0 ]$ ? $\color{blue}{\text{[Case 1]}}$ (that's what I do) Or do we solve the ...
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1answer
30 views

Graphing function with polar coordinate

I am studying polar coordinates and I am not understanding what's the practical method for graphing this relation: $$r = \frac{1}{2} + \sin \theta, \text{for } 0 < \theta < 2\pi$$. I plotted ...
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3answers
42 views

Can we determine uniform continuity from graphs?

Can we know from the graph of a function that whether the function is uniformly continuous or not? If the set on which the function is defined is not compact, so what one can say in that case?
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2answers
44 views

From the graph find the number of solutions.

The figure below shows the function $f(x)$ . How many solutions does the equation $f(f(x))=15$ have ? $a.)\ 5 \\ b.)\ 6 \\ c.)\ 7 \\ d.)\ 8 \\ \color{green}{e.) \ \text{cannot be determined from ...
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2answers
43 views

plot graph of function $f(z)=\frac{1+z}{1-z}$

I am not able to plot graph of function $f(z)=\frac{1+z}{1-z}$. can anyone tell me how to do this without using any software?
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4answers
917 views

Plot of a … Square?

Well there are equations which can plot a square like : $|x-y|+|x+y|=a$ But how about this equation: ? (At the end ... bear with me!) [Here I have taken $a = 1$] Plot of $$x^2 + y^2 = a^2$$ ...
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1answer
42 views

Conversion between trig functions and hyperbolic trig functions

Using trig identities we can see that $\sin^2 x + \cos^2 x = \tanh^2 x + \text{sech}^2 x = 1$ , and so the parametric graph $(\cos t, \sin t)$ is similar to $(\text{sech} t, \tanh t)$. The first ...