What is the average rate of change of the function f(x) = 4x – 2 over the interval x = –1 and x = 2?

Question

asked Apr 27, 2022 118k views

1 Answer

Dalimian · Answer 1 · 2022-05-01T05:47:49+0000

Answer:

Explanation:

Given:
f(x)=4x-2

To find: average rate of change of the function
f(x)=4x-2 over the interval
x=-1 and
x=2

Solution:

Take
$a=-1,\,b=2$

Find
$f(a),\,f(b)$

$f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6$

Average rate of change of the function
=(f(b)-f(a))/(b-a)

$=(f(2)-f(-1))/(2-(-1))\\\\=(6-(-6))/(3) \\\\=(12)/(3)\\\\=4$