Question

1. given the function p(x) = -3x²+2x-5, determine the average rate of change from x = -3 to x = 3

Explanation:

Step1: Calculate p(-3)

$p(-3) = -3(-3)^2 + 2(-3) -5 = -3(9) -6 -5 = -27 -6 -5 = -38$

Step2: Calculate p(3)

$p(3) = -3(3)^2 + 2(3) -5 = -3(9) +6 -5 = -27 +6 -5 = -26$

Step3: Compute average rate of change

$\text{Average rate} = \frac{p(3)-p(-3)}{3 - (-3)} = \frac{-26 - (-38)}{6} = \frac{12}{6} = 2$

Answer:

2