Question

Question #ac356

Answer 1

Average rate of change `=7`
`y=7x-8`

Explanation:

For the function y = f(x) between x = a, and x = b, the

`f(x)=2x^2-3x`
`f(a)=2-3=-1, when color(white)(aa)a=1`

`f(b)=32-12=20, when color(white)(aa)b=4`

`a=1, f(a)=-1; b=4, f(b)=20`

Average rate of change `=(f(b)-f(a))/(b-a)= (20-(-1))/(4-1)`
`=21/3=7`

`y=mx+c`; to find c,
`-1=(7*1)+c`
`c=-8`

The function is
`y=7x-8`