Question

find the average rate of change of k(x) = 2x^5 over the interval -2, -1. write your answer as an integer, fraction, or decimal rounded to the nearest tenth. simplify any fractions.

Explanation:

Step1: Find k(-2)

$k(-2)=2\times(-2)^5=2\times(-32)= - 64$

Step2: Find k(-1)

$k(-1)=2\times(-1)^5=2\times(-1)= - 2$

Step3: Calculate average rate of change

$\frac{k(-1)-k(-2)}{-1 - (-2)}=\frac{-2-(-64)}{-1 + 2}=\frac{-2 + 64}{1}=62$

Answer:

62