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
37 views

What type of function is $x^2+y^2+6x$?

So, the task is to calculate the volume of body formed when the surface bounded by these functions: $y=x^2/3$ and $x^2+y^2+6x$ rotates around $x$ axis. Everything involving the actual calculation ...
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1answer
12 views

Sketch positive area of function with two inputs

How do you sketch an area of a function with two inputs? I have no 3D drawing skills what so ever and I'm having trouble sketching this function. $f(x,y) =\left\{ \begin{array}{ll} \cfrac{4x^3}{y^...
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2answers
21 views

What does the Cartesian equation of a Parametric function tell us?

I've been taught that a Parametric function can be converted into a Cartesian one by eliminating the parameter $t$ but I've never been taught of how it specifically relates to the Parametric. Does it ...
2
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1answer
13 views

Parabola directrix formula

Question 1: I don't understand why (p+x)^2 = (MP)^2 Does it include positive and negative values? Question 2: Why is x + p = 0 Any help is much appreciated. Thank you.
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3answers
43 views

graphing trigonometric functions

I am so confused on how to graph $$y=\tan^3x-\tan^2x+3\tan{x}-3$$ I already have the graph from wolphram however I don't know how to arrive to such graph. I believe I have to write it as a function $y=...
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3answers
31 views

Value of k, for an intersection of two parabolas

If $f(x)=x^2 -6x+14$ and $g(x)=-x^2 -20x -k$, determine the value of $k$ so that there is exactly one point of intersection between the two parabolas. How do I do this? If I did $x^2 -6x+14=-x^2 -...
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0answers
16 views

Plot complex inequalities $|z^2| > Im(z)^2$

I need to draw the set of all complex numbers, which satisfy the following inequality: $|z^2| > Im(z)^2$ This is what I've already done: $|z^2| > Im(z)^2$ $|z|^2 > Im(z)^2$ - use $z = a +...
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0answers
17 views

finding the equation of a graph with 2 given characteristics

I need to find the equation for the graph of $y = x^2$ with the following characteristics 1. congruent to $4x^2 + 8$ 2. shares the same translations as $\frac{1}{3x - 9}$ I have attempted this ...
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2answers
104 views

Find the highest point on curve defined by intersection of the graph of $g(x,y) = \sqrt{xy}$ and plane $x+y-1=0$

So far this is what I have done: $$F(x,y) = \sqrt{xy} + λ(x+y-1) =0$$ $$F_x = \frac12(xy)^\left(\frac{-1}{2}\right).y + λ=0$$ $$F_y = \frac12(xy)^\left(\frac{-1}{2}\right).x + λ=0$$ $$Fλ = x+y-1=0$...
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1answer
18 views

Domain Problems With Equation

I'm trying to graph the equation $y=-2x^{2/3}(x-3)^{1/3}$. I input the equation into WolframAlpha and it is asserting that the domain for the equation is $x \in R : x \geq 3$ and the range is $y \in ...
2
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2answers
56 views

Graphical representation of double integral

Consider the following double integral $$\int_0^1 \int_{2y}^2 \cos(x^2) dx\ dy$$ I would have no problem sketching the region if instead of $\cos(x^2)$ I had nothing. However, with the introduction ...
3
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2answers
121 views

Why is the sin of n times pi always 0

My instructor says that $\sin(\pi \cdot n)$ is always equal to $0$. However, when playing with jsconsole.com, I find that this is not the case. ...
5
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2answers
58 views

Graph of Composite Sine and Cosine Function

I was playing around with a graphing calculator and I noticed that if you repeatedly apply sines and cosines in this manner: $$\sin(\cos(...{\sin (\cos{(\sin(x)}))))}$$ its graph flattens out. Why ...
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1answer
39 views

Challenging Linear Programming Question - Determining Objective Function

Working Out: X = Num. of bottles sold from Vineyard 1 Y = Num. of bottle sold from Vineyard 2 A = Num. of bottles demanded by Rest 1 B = Num. of bottles demanded by Rest 2 C = Num of bottles ...
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0answers
8 views

Use a uniformed scale to represent multiple linear/exponential equations

I need to allow a user to select a date value ranging from $0$ to $50$ years from a linear slider. There are $8$ uniformed intervals of $(0m, 3m, 9m, 1y, 5y, 10y, 30y, 50y)$. I need a formula to ...
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2answers
27 views

Incorrect Orientation of Graph in Stewart's Calculus 8E

The problem is #27 (matching graph), and the answer is VIII. I am losing my mind trying to figure out why graph VIII is oriented to have a greater set of Z vertices when X should be the major axis for ...
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1answer
74 views

Why can we neglect the negative values when calculating an integral?

Lets say we have the following graphs: Why can we assume $f(x) - g(x)$ for volume and area, even when part of the graph is below the $x$-axis (or will go below the $x$-axis when calculating volume?...
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1answer
32 views

What type of graph is $y=1/(x^2)$

Does this count as a reciprocal graph or am I mistaken? The graph looks like an exponential where x >= 0 although the equation clearly suggests otherwise.
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0answers
26 views

Why is it useful to find the domain and range of a function graph

I know about domain and range but my professor has asked us why it may be useful to find the domain and range and I cant really think of a reason that would be considered "useful". Can anyone think of ...
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5answers
28 views

Range of a function using graph

If we are given a function $$y = \frac{x-1}{x+2}$$ and we have to find the range . So I tried, I wrote $$y = 1 - \frac3{x+2}$$ $$y-1 = \frac{-3}{x-2}$$ We know this is an equation of rectangular ...
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4answers
81 views

Is $x=0$ a local minimum of $f(x)=x^{2/3}(5-x)$?

It seems to be decreasing for values below zero and increasing for values between zero and 2. However $f'(0) = \frac{(-5 (x-2))}{3 x^{1/3}}|_{x=0}$ does not exist. So it's not a local minimum? Btw, ...
2
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1answer
14 views

Expressing the Domain of a Function Correctly

Say we have the function $y=\frac{1}{\sqrt{x^2-3}}$ and we are asked to find the domain. So basically the function will be undefined when $x = 0$, and is between $-\sqrt{3}$ and $0$ and also, $0$ ...
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1answer
12 views

Given a line segment from $A$ to $B$, and a scale of your view of space $sx, sy$, how do you preserve width of line?

So I'm using PyQt5 to do 2D rendering for an LED light show creator app. The light shows are graphs where the $Y$-axis is LED brightness level and the $X$-axis is usually time. I have a zoom feature ...
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1answer
17 views

Find a constant $b$ so that $\sin(3x)$ and $1 - e^{bx}$ overlap on the interval $(-1,1)$ when graphed

Question Find a constant $b$ so that $\sin(3x)$ and $1 - e^{bx}$ overlap on the interval $(-1,1)$ when graphed. So I know that for the graphs to overlap the derivatives need to be equal. ...
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0answers
14 views

How can I “map” a parameter with range $[0,∞]$ to a “ratio parameter” such as probability?

Newbie in the house! On one hand, I have this sense that there exists one non-arbitrary, a priori or 'natural' function to map $[0,∞]$ into ratio parameter, natural in the sense $e^x$ is natural. On ...
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1answer
36 views

How to graph an implicit function by hand?

Suppose we have a function like $\ln(y+1) - y = x$. What is a strategy for graphing this function without a computer, without a calculator?
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1answer
25 views

Graph a function of two variables online, with the output rendered as color

Are there any online utilities to graph a function of two variables online, with the output rendered as color in some way (for example, red to green, black to white, hue, etc...) Wolfram Alpha comes ...
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3answers
150 views

A way to test whether a function is odd/even using calculator

Could you show me an easy and fast way to test whether a function is odd or even using the calculator ? I've only came across the graphing way and another algebraic way and I'm afraid to make a silly ...
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0answers
20 views

Giving the equation for graphs of fractional powers

In Mathematics Methods we are learning the features of graphs of fractional powers. The equations of these graphs are in the form: $y=a\sqrt{x-b}+c $ By simply analysing a graph with a hyperbola how ...
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0answers
8 views

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 ...
0
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1answer
20 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 ...
0
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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
23 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
28 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 ...
2
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2answers
91 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
32 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
20 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
61 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 ...
0
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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 ...