Question

For the graphed function f(x) = -(5)^x - 3 + 2, calculate the average rate of change from x = 4 to x = 6

Answer 1

Substitute using the average rate of change formula.

((−(5)^6−3+2)−(−(5)^4−3+2)) / ((6)−(4))

Simplify the expression.

−7500

Explanation:

Answer 2

• -60

Explanation:

The function is:

• f(x) = -5ˣ⁻³ + 2

Find values of f(4) and f(6);

• f(6) = -5⁶⁻³ + 2 = -123
• f(4) = -5⁴⁻³ + 2 = -3

Average rate of change in the given interval is:

• (- 123 - (-3)) / (6 - 4) =
• -120/2 =
• -60