Question

Descnbe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x + 2. Include the average rate of change in your answer

Answer 1

Answer:

3

Step-by-step explanation:

The average rate of change is simply the change in y over the change in x between the two points. It's essentially the slope of the line:

$\frac{f(5)-f(3)}{5-3} =\frac{17-11}{2} =6/2=3$

Thus, the average rate of change is 3.

Hope this helps!

Answer 2

Answer:

y increases by 3 units as x increases by 1 unit

Step-by-step explanation:

Average rate of change is the change per unit x.

Calculate the function values at x = 3 and x = 5

Find the change

Divide by change in d

f(3) = 3(3) + 2 = 11

f(5) = 3(5) + 2 = 17

Change: 17 - 11 = 6

6/(5-3) = 6/2 = 3