1) For which interval(s) is f(x) positive? f(x) = −3(x+5)^2 (x−1)^16 (x−15)^23

A. (−∞,−5)
B. (−∞,−5)
C. (15,∞)
D. (−∞,−5)

2) For which interval(s) is f(x) positive?

f(x) = 4(x+30) (x−51) (x−97)

A. (−30,51)
B. (−∞,−30)
C. (−∞,∞)
D. None of the above

  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).

step-by-step explanation: