Question

How all work.

Answer 1

Answer:

Here we can only answer A and B.

For a given function f(x), the average rate of change in a given interval [a, b] is given by:

$r = \frac{f(b) - f(a)}{b - a}$

A) we have g(x) = 14*x + 6, and the interval [0, 5], the average rate of change is:

$r = \frac{g(5) - g(0)}{5 - 0} = \frac{(14*5 + 6) - (14*0 + 6)}{5} = \frac{14*5}{5} = 14$

The average rate of change is 14.

B) We have g(x) = 3*(2x) - 6

we can rewrite this as:

g(x) = 3*2*x - 6 = 6x - 6

And we want to find the rate of change in the interval [0, 5]

is:

$r = \frac{g(5) - g(0)}{5 - 0} = \frac{(6*5 - 6) - (6*0 - 6)}{5} = 6$