Find the end behavior of f(x)= 5x^3-90x Find the x- intercepts of f(x)

Equation is f(x)=5x^3-90x

Its x-intercepts will be at 0, 9 and -9.

For the end behavior, because it's cubic and subtracts a multiple of x¹, this curve will primarily have a positive slope, but briefly a negative one when x is very near zero.

Step-by-step explanation:

We can factor this fairly easily, as both terms are divisible by 5x. After factoring those out they become a difference of squares, giving us all three factors of the function:

With that we can say that its x-intercepts will be at 0, 9 and -9.

Being a cubic function with a positive coefficient on the first term, we know that this curve will primarily have a positive slope, but briefly a negative one when x is very near zero.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.