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2 years ago

What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]

Mathematics

1 answer:

77julia77 [94]2 years ago

6 0

Answer:

Average rate of change = 3

Step-by-step explanation:

We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].

here a = -3 and b = 4

f(b) = f(4) = 27

f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a) / b - a

= (27 - 6) / (4 - (-3))

= 21 / 7

= 3

Therefore, Average rate of change = 3

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