Question

What is the average rate of change for this exponential function for the interval from x=2 to x=4?A. -6 B. 12C. -12D. 6

Answer 1

The Solution.

At point x = 2, the value of the function is 4.

That is,

`\cdot(x_1=2,y_1=4)`

At point x = 2, the value of the function is 4.

That is,

`(x_2=4,y_2=16)`

The rate of change of the given function is defined by the formula below:

`\text{Rate of change =}\frac{y_2-y_1}{x_2-x_1_{}}`

Substituting the values in the above formula, we get

`\text{Rate of change =}\frac{16_{}-4_{}}{4_{}-2_{}}=(12)/(2)=6`

Therefore, the correct answer is 6 (option D)