Question

What is the average rate of change for this exponential function for the interval from x = 2 to x= 4 ?

Answer 1

The answer is D. 6 . This is because it is a positive slope so you can cancel out B and C and then, you count your boxes

Answer 2

Answer:

Option D) 6

Explanation:

As we know that average rate of change will be given by

$Rate = \frac{\Delta y}{\Delta x}$

now here we know that

at x = 2 the value of y coordinate will be 4

also at x = 4 the value of y coordinate will be 16

now we know that

$Rate = \frac{y_2 - y_1}{x_2 - x_1}$

$Rate = \frac{16 - 4}{4 - 2}$

$Rate = 6$

so rate of change of Y coordinate with respect to x coordinate will be 6