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3 years ago

Shown here is the graph of a function f.

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

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

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