Question

1. target b

evaluate the expression.
find ( f(-3) ) for ( f(x) = 2x^3 - 5x^2 )
enter the exact numerical value.

Explanation:

Step1: Substitute \( x = -3 \) into the function

We have \( f(x) = 2x^3 - 5x^2 \), so substitute \( x = -3 \):
\( f(-3) = 2(-3)^3 - 5(-3)^2 \)

Step2: Calculate the powers

First, calculate \( (-3)^3 = -27 \) and \( (-3)^2 = 9 \):
\( f(-3) = 2(-27) - 5(9) \)

Step3: Perform the multiplications

Calculate \( 2(-27) = -54 \) and \( 5(9) = 45 \):
\( f(-3) = -54 - 45 \)

Step4: Perform the subtraction

\( -54 - 45 = -99 \)

Answer:

\( -99 \)