Question

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.
f(x) = (x + 5)(x + 3)(x - 2)2

Answer 1

if you learned derivative:

f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)

=4x³+12x²-26x-28=0

⇒x=2; =-0.84; =-4.16

⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)

if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing

Explanation: