Question

HELP PLEASE!!!!! 50 POINTS!!!!!!!!

Which of the following graphs could be the graph of the function f(x)= -0.08x(x^2-11x+18)?

Answer 1

Option C or the third graph is the correct choice

Edg 2020

Answer 2

see below

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 -∞