How do you graph f(x) = -x(2x+5)^2(3x-10)?
1 Answer
There isn't a way to do this accurately, but if you just want to sketch the graph, read below for the quite complicated solution.
Explanation:
Since
So now we have 3 points to work with. To find out what happens at each point, we can just look at the different parts of the equation.
To find out what happens around
To find out what happens around
To find out what happens around
We can also find out what happens at the two extreme ends of the function (the end behavior of the function). If
With all of this information, we can sketch the graph of the function:
The function starts out on the left side being really negative, and then goes towards the x-axis, but never actually crossing the x-axis at
You can check with the below graph:
graph{-x(2x+5)^2(3x-10) [-5, 5, -700, 700]}
OR, if you want a more simple way to graph the function, just plug it into your graphing calculator or WolframAlpha or any graphing utility.