Question

For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.

graph of f of x equals negative 1 times 5 to the x minus 3 power, plus 2

(6 points)

a
−4

b
4

c
1

d
−1

Answer 1

Answer:

-4 is the average rate of change from 3 to 4

Step-by-step explanation:

Average rate of change is defined as the fraction of change in f(x) value to change in x value.

Here we have x values as 3 and 4.

To find the average rate of change from x=3 to x=4

Average rate of change = change in f(x)/change in x

f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4

Change in x = 4-3 =1

Answer 2

-4 is the answer to this solution