Question

Can someone please solve?

Answer 1

`(15)/(4)\\\\`

Explanation:

Average rate of change(ARC) for a function f(x) in the interval [a, b]

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

Here the interval is [0, 4):

a = 0

b = 4

f(0) = 1
f(4) = 16

`ARC \\\\= (16- 1)/(4-0)\\\\= (15)/(4)\\\\`

Average Rate of Change from x = 0 to x = 4 is
`(15)/(4)\\\\`