Question

Drag the tiles to the correct boxes to complete the pairs.

The function (x) is represented by this table of values

Answer 1

Explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change =
`(f(b)-f(a))/(b-a)`

Average rate of change of the function in the interval [-4, -2]

=
`(f(-2)-f(-4))/(-2-(-4))`

=
`(0-(-12))/(-2+4)`

= 6

Average rate of change in the interval [-2, 1]

=
`(f(1)-f(-2))/(1-(-2))`

=
`(3-0)/(1-(-2))`

= 1

Average rate of change in the interval [-3, 1]

=
`(f(1)-f(-3))/(1-(-3))`

=
`(3-(-5))/(1+3)`

= 2

Average rate of change in the interval [-4, 0]

=
`(f(0)-f(-4))/(0-(-4))`

=
`(4-(-12))/(0-(-4))`

= 4