Functions Test

The table shows the loan balance of two different loans each year for 2 years. Determine whether each balance is linear or nonlinear. Then predict which account will have a lower balance in Year 3.

• Loan A balance is linear. Loan B balance is nonlinear. Account A will have a lower balance in Year 3.

• Loan B balance is linear. Loan A balance is nonlinear. Account A will have a lower balance in Year 3.

• Loan A balance is linear. Loan B balance is nonlinear. Account B will have a lower balance in Year 3.

• Loan B balance is linear. Loan A balance is nonlinear. Account A will have a lower balance in Year 3.

The graph of which function is shown?

Which function is an exponential decay function?

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The graph of which function is shown?

The population of a once-endangered animal species has been increasing. From the data in the table, use a graphing calculator to find a linear equation that describes the relationship between the year t and ln P. Then find an exponential relationship between t and P. P is in thousands.

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Write an exponential function whose graph passes through the points (5, 128) and (4, 64).

Early in the 1900s, an airplane manufacturer was able to increase the time its planes could stay aloft by constantly refining its techniques. Using a graphing calculator, determine which exponential equation best models the data.

The graph of which power function is shown?