What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1? A) −10 B) −2 C) −5 D) 10
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Given:
f(x) = -2x + 1
x = -5
x = 1
Determine the average rate of change.
Formula for the average rate of change:
(f(a) - f(b))/((a) - (b))
Solution:
Solve first for f(a) and f(b)
f(1) = -2(1) + 1
f(1) = -2 + 1
f(1) = -1
f(5) = (-2)(-5) + 1
f(5) = 10 + 1
f(5) = 11
= (-1 - 11 ))/((1) - (5))
= -12 /-4
= 3
Final answer:
= 3