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Shown here is the graph of a function f.

Suppose g(x) = −x2 + 10.

Select the function that has the smaller rate of change over the interval [1, 3].

A) f
B) g
C) They are the same.
D) Insufficient information.

Shown here is the graph of a function f Suppose gx x2 10 Select the function that has the smaller rate of change over the interval 1 3 A f B g C They are the sa class=

Respuesta :

mhanifa

Answer:

C) They are the same.

Step-by-step explanation:

The function f(x) has points as per graph:

  • f(1) = 9
  • f(3) = 1

So the points are:

  • (1, 9) and (3, 1)

Rate of change for f(x):

  • (1-9)/(3-1) = - 8/2 = -4

The function g(x) has points:

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

So the points are:

  • (1, 9) and (3, 1)

Rate of change for f(x):

  • (1-9)/(3-1) = - 8/2 = -4

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

The answer choice is: C) They are the same

Answer: C

Step-by-step explanation:

I got it right

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