Helpp + can u add an explanation on how you got the answer? thanks!

289

Step-by-step explanation:

f(x) = x^2+1

Let x= 4

f(4) = 4^2+1 = 16+1 = 17

f(4) ^2 =17^2 =289

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer4 to the second power is 16

and 4 to the third power is 64,