Mathematics

Problem

A function

f

is defined by

f(x)=\begin{cases} x^{2}, & 0\le x\le 1,\\ 4x-3, & x>1. \end{cases}

For what value of

x>1

is the average rate of change of

f

on the interval

[0,x]

equal to

2.5

? a)

2.5

1.25

2

\dfrac{8}{3}