Answer:
see below
Step-by-step explanation:
f(x)= -0.08x(x^2-11x+18)
Factor
f(x)= -0.08x(x-9)(x-2)
Using the zero product property to find the zeros
0= -0.08x(x-2)(x-9)
-0.8x =0 x-2 =0 x-9 =0
x=0 x=2 x=9
Multiply out
f(x) = -0.08 x^3 + 0.88 x^2 - 1.44 x
The highest power is x^3
f(-∞) = -0.08( -∞)^3 = - ( -∞) = ∞
As x goes to -∞ f(x) goes to +∞
f(∞) = -0.08( ∞)^3 = - ( ∞) = -∞
As x goes to ∞ f(x) goes to -∞
