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2) Given the function f(x) = 5x2 find the following, showing your work and using proper notation.

a) The net change from x = 3 to x = 3 + h.

b) The average rate of change from x = 3 to x = 3 + h.

2 Given the function fx 5x2 find the following showing your work and using proper notation a The net change from x 3 to x 3 h b The average rate of change from class=

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mhanifa

Answer:

  • See below

Step-by-step explanation:

Given function

  • f(x) = 5x²

a) The net change:

  • f(h + 3)  - f(3) =
  • 5(h + 3)² - 5(3)² =
  • 5h² + 30h + 45 - 45 =
  • 5h² + 30h

b) The average rate of change:

  • (f(h + 3)  - f(3)) / (h + 3 - 3) =
  • (5h² + 30h) / h =
  • 5h + 30

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