Given the function f(x)=x^2-4x-1 determine the average rate of change of the function over the interval -4

- 1

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

Here [ a, b ] = [4, 7 ], thus

f(b) = f(7) = 7² - 4(7) - 1 = 49 - 28 - 1 = 20

f(a) = f(- 4) = (- 4)² - 4(- 4) - 1 = 16 + 16 - 1 = 31

average rate of change = = = - 1

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions