Question

Match the average rates of change of Rx) with the corresponding intervals.-2520[O, 5)(-3, 3](-5,3)(-3,5)

Answer 1

1) Examining the table we can write the following calculating the Average rate of change, applying the formula:

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

[0,5}

`\Delta=(28-3)/(5-0)=(25)/(5)=5`

[-3,3]

`\Delta=(f(3)-f(-3))/(3+3)=(12-12)/(6)=0`

[-5,3]

`\Delta=(f(3)-f(-5))/(3-(-5))=(12-28)/(8)=(-16)/(8)=-2`

[-3,5]

`\Delta=(f(5)-f(-3))/(5-(-3))=(28-12)/(8)=(16)/(8)=2`

2) Hence the answer in order is

5,0,-2,2