Question

"f(x)=-8(x-5)(x+1)^2 Near the largest x-intercept, what is the behavior of the graph?" How do I solve this?

Answer 1

what is the largest \(x\) intercept?

Answer 2

5

Answer 3

(x-5)

Answer 4

ok, so it is zero at 5
the second factor \((x+1)^2\) is positive near 5, because it is a square
so the graph changes sign from negative to positive at \(x=5\)