Question

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Answer 1

16

Explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula (
`(y2-y1)/(x2-x1)`)

`(30-14)/(2-1)`

`(16)/(1)`

16