Final Review

Joanna has $625 in her checking account but plans to withdraw $78 each month for her share of the apartment utilities. Which function represents the balance of her checking account, B, after x months without considering other withdrawals?

• B = 78 – 625x
• B = 625(78)^x
• B = 625 – 78x
• 78x² + 625x

For the quadratic function y = a(bx – c)² + d,  which transformation will the parameter a produce?

• horizontal stretch or compression
• translation upward or downward
• vertical stretch or compression
• translation left or right

• Linear
• Quadratic
• Cubic
• None of these

Mikaela sells magazine subscriptions for children’s publications. Her base pay is $500 per month plus $1.25 on each subscription she sells. At the end of the month, 15% of her pay is deducted for income tax withholding. Which function, p(x), represents Mikaela’s monthly net pay after income tax withholding is deducted, where x is the number of subscriptions sold that month?

• p(x) = 500 + 1.25x
• p(x) = [0.15(500 + 1.25x)]
• p(x) = 500 + 1.25x + [0.15(500 + 1.25x)]
• p(x) = 500 + 1.25x – [0.15(500 + 1.25x)]

• h(x) = f(x) – g(x)
• h(x) = f(x) + g(x)
• h(x) = g(x) – f(x)
• h(x) = g(x) + f(x)

• h(x) = f(x)¸g(x)
• h(x) = f(x) + g(x)
• h(x) = g(x)¸f(x)
• h(x) = g(x) + f(x)

Which of the following is not true about the quotient of two polynomial functions?

• A linear function divided by a quadratic function generates a rational function.
• A cubic function divided by a quadratic function generates a linear function.
• A quadratic function divided by a linear function generates a linear function
• A quadratic function divided by a cubic function generates a linear function.

• f(x) = 25x + 45
• f(x) = 45x + 25
• f(x) = 25x – 45
• f(x) = 45x – 25

• exponential, common ratio = 0.67, y = 0.67(240)^x
• exponential, common ratio = 1.5, y = 240(160)^x
• exponential, common ratio = 1.5, y = 240(1.5)^x
• not an exponential function

• y = 5x² – 7
• y = 5x² + 7
• y = x² - 7x
• y = x² + 7x