This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x = 2
to X = 42
A.6
B.12
C.1/12
D.1/6

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 2, 4 ], thus

f(b) = f(4) = 16 ← corresponding value of y from table

f(a) = f(2) = 4 ← corresponding value of y from table , thus

average rate of change = = = 6 → A

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step-by-step explanation: