Question

This table values that represent a quadratic function.

Answer 1

A

Explanation:

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

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

Here [ a, b ] = [ 3, 5 ] , thus

f(b) = f(5) = - 26 ← value of y for x = 5 from table

f(a) = f(3) = - 10 ← value of y for x = 3 from table

average rate of change =
`(-26-(-10))/(5-3)` =
`(-16)/(2)` = - 8 → A