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marusya05 [52]
2 years ago
8

Shown here is the graph of a function f.

Mathematics
1 answer:
vazorg [7]2 years ago
6 0

Answer:

C) They are the same.

Step-by-step explanation:

<u>The function f(x) has points as per graph:</u>

  • f(1) = 9
  • f(3) = 1

<u>So the points are:</u>

  • (1, 9) and (3, 1)

<u>Rate of change for f(x):</u>

  • (1-9)/(3-1) = - 8/2 = -4

<u>The function g(x) has points:</u>

  • g(1) = -1² + 10 = 9
  • g(3) = -3² + 10 = 1

<u>So the points are:</u>

  • (1, 9) and (3, 1)

<u>Rate of change for f(x):</u>

  • (1-9)/(3-1) = - 8/2 = -4

As we see both functions have same rate of change over the interval [1, 3]

<u>The answer choice is: </u>C) They are the same

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