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

For the graphed function f(x) = -(5)^x - 3 + 2, calculate the average rate of change-example-1
User Vadim Hulevich
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2 Answers

19 votes
19 votes

Answer:

Substitute using the average rate of change formula.

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

Simplify the expression.

−7500

Explanation:

User Gotti
by
2.6k points
14 votes
14 votes

Answer:

  • -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

User Casey Plummer
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3.4k points