Program or website for graphing

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For a grade 11 pre-calc assignment involving graphing various equations, users recommend Desmos as a suitable online tool for plotting multiple graphs, including hyperbolas, parabolas, and lines. The discussion highlights the ability to incorporate inequalities, such as limiting the domain of a line with conditions like x < 15. Users also mention WolframAlpha as an alternative for graphing. A workaround for plotting inequalities is shared, suggesting a method to define limits using specific mathematical expressions. Overall, Desmos and WolframAlpha are both effective resources for visualizing complex equations in this context.
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I'm in grade 11 pre-calc right now and my teacher gave us an assignment over the long weekend where we need to draw a person using the different kinds of graphs we learned (ie. hyperbolas, parabolas, circles, ellipses, lines etc.) I have a sketch of what I want on a piece of paper and I've written down all the equations of each line.

My Question Is: Is there a program or website that will allow me to enter all the equations and then plot all the lines together so I can see if it looks like what it's supposed to look like?
 
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statdad said:
Maybe try
https://www.desmos.com/calculator
(I don't know how complicated your equations are)
Thanks! I'll give it a try. Is there ways to add inequalities. For example if I am drawing a line but I want it to stop at a certain point, I can say like x < 15
 
WolframAlpha is interesting, too.
Limits: "plot x^2, x from 2 to 4"

There is a "hack" if you cannot directly draw inequalities: sqrt(x-a)/sqrt(x-a) is not well-defined (for most plotting programs) for x<=a and 1 for x>a. It is possible to include an upper limit in a similar way.
 
Yes you can. You can look at the help area of the site: is the screenshot (attached) the type of thing you were interested in?
 

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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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