Precalculus Transformations

Write the function for the following table:

Answer explanation

The correct function is f(x)=1(3)^x because it matches the given table and represents exponential growth with a base of 3.

Find g(f(-2))

• -18

• -2

• 1

• 9

Answer explanation

To find g(f(-2)), first find f(-2) which equals 1. Then plug 1 into g(x) which gives -2. Therefore, g(f(-2)) = -2.

• 2

• 12

• 14

• 16

The number of active accounts on the social media app Instagram has grown drastically since 2013. The table above gives the number of active Instagram accounts, in billions, for selected years since 2013. The quadratic function A models the number of active Instagram accounts, in billions, as a function of time t in years since 2013. Use the model found in part (i), What is the predicted number of active Instagram accounts for the year 2024 (t=11)?

The number of active accounts on the social media app Instagram has grown drastically since 2013. The table above gives the number of active Instagram accounts, in billions, for selected years since 2013. The quadratic function A models the number of active Instagram accounts, in billions, as a function of time t in years since 2013. What is the value of the residual for the number of Instagram accounts for the year 2017 (t=4)?

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• 
• 
• 

• [-5, 4]

• [-4, 5]

• [-2, 3]

• [-1/4, 5]

What is the initial value of the situation represented by f(x)=0.05(2)^x?

• 0.05

• 2

• 0.1

• 1