Algebra Linear and Exponential Review

Which of the following best describes a function?

• Has inputs and outputs

• Every input has one and only one output

• Inputs have different outputs every time

• x-values and y-values

Select all the graphs that do not represent a function.

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Select the graphs that pass the vertical line test, and therefore are functions.

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• 4

• -4x

• -4

• 2

Kelsi is starting a new savings account. Bank 1 offers to add $40 to the account each month as interest. Bank 2 tells her that they will add 10% of the accounts value each month as interest. Which of the following is true about the accounts

• Bank 1 is best modeled by a linear function & Bank 2 is best modeled by an exponential function.

• Bank 1 is best modeled by an exponential function & Bank 2 is best modeled by a linear function.

• Both Bank 1 and 2 are best modeled by linear functions.

• Both Bank 1 and 2 are best modeled by exponential functions.

Consider the two points (0, 8) and (1, 2).

a. Write a linear equation that passes through these points in slope-intercept form.

b. Write an exponential equation in y = ab^x form that also passes through the two points.

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Kelsi is starting a new savings account. Bank 1 offers to add $40 to the account each month as interest. Bank 2 tells her that they will add 10% of the accounts value each month as interest. Which of the following is true about the accounts

• Bank 1 is best modeled by a linear function & Bank 2 is best modeled by an exponential function.

• Bank 1 is best modeled by an exponential function & Bank 2 is best modeled by a linear function.

• Both Bank 1 and 2 are best modeled by linear functions.

• Both Bank 1 and 2 are best modeled by exponential functions.

• 4

• -2

• 2

• 9

Which of the following ordered pairs is a y-intercept?

• (-9,0)

• (-2,3)

• (4,-2)

• (0,5)

Which equation(s) represent this line?