Question

Y=2x²- 5x+1
Find rate
of change for domain [-3, 1]

Answer 1

- 9

Explanation:

The rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ - 3, 1 ], thus

f(b) = f(1) = 2(1)² - 5(1) + 1 = 2 - 5 + 1 = - 2

f(a) = f(- 3) = 2(- 3)² - 5(- 3) + 1 = 18 + 15 + 1 = 34

rate of change =
`(-2-34)/(1-(-3))` =
`(-36)/(4)` = - 9