Write a quadratic function h whose zeros are 2 and 7.​

First you have to find the factors for these zeros

f(x) = (x-2)(x+8)

Then FOIL to come up with the function

f(x) = x2+8x-2x-16

Combine like terms

f(x) = x2+6x-16

  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).

correct answer:

i^31 = -i