Given f(x)= 7-x^2, what is the average rate of change in f(x) over the interval [1, 5]? -6 -1/2 1/4 1

-6

Step-by-step explanation:

The average rate of change is given by

f(x2) - f(x1)

x2-x1

x2=5 and x1 = 1

f(5) =7 - 5^2 = 7-25 = -18

f(1) = 7-1^2 = 7-1 = 6

-18-6

5-1

-24

4

-6

Last answer (bottom most graph)

Step-by-step explanation:

-3x - 7 < 20

-3x < 20 + 7

-3x < 27

- x < 27/3

- x < 9

x > 9 (flip inequality sign when multiplying both sides by -1)

The only graph that shows that the value of x is greater than 9 is the bottom answer