MRS43 - Final Review

Susan won $2,000 and invested it into an account with an annual interest rate of 3.2%. If her investment were compounded monthly, which expression best represents the value of her investment after t years?

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The equation V(t) = 12,000(0.75)^t represents the value of a motorcycle t years after it was purchased. Which statement is true?

• The motorcycle cost $9000 when purchased.

• The motorcycle cost $12,000 when purchased.

• The motorcycle’s value is decreasing at a rate of 75% each year.

• The motorcycle’s value is decreasing at a rate of 0.25% each year.

Tags

CCSS.HSF.LE.B.5

Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10 years from his original purchase, it was worth $6000. Assuming the growth rate remains the same, which type of function could he create to find the value of his investment 30 years from his original purchase?

• Exponential Function

• Linear Function

• Quadratic Function

• Trigonometric Function

Which of the following statements is true when comparing the graphs of the functions shown below?

f(x) = log₄(x)

g(x) = 4^x

• The asymptote of g(x) = 4^x is x = 0, while the asymptote of f(x) = log₄(x) is y = 0.

• Both functions have x−intercepts of (1, 0).

• The domain values of g(x) = 4^x is the set of all real numbers, while the domain values of f(x) = log₄(x) is the set of positive real numbers.

• The range values of g(x) = 4^x is the set of all real numbers, while the range values of f(x) = log₄(x) is the set of positive real numbers.

Tags

CCSS.HSF-IF.C.7E

If the function f(x) = x² has the domain {−3, 2, 4, 7}, what is its range?

• {−6, 4, 8, 14}

• {−3, 2, 4, 4, 9, 16, 7, 49}

• {4, 9, 16, 49}

• {−9, 4, 16, 49}

The student used the equation of the line y = −0.09x + 9.24 to model the data. What does the rate of change represent in terms of these data?

• The average number of hours of sleep per day increases 0.09 hour per year of age.

• The average number of hours of sleep per day decreases 0.09 hour per year of age.

• The average number of hours of sleep per day increases 9.24 hours per year of age.

• The average number of hours of sleep per day decreases 9.24 hours per year of age.

Tags

CCSS.HSF.LE.B.5

If f(n) = (n − 1)² + 3n, which statement is true?

• f(3) = −2

• f(−2) = 3

• f(−2) = −15

• f(−15) = −2

Tags

CCSS.HSF.IF.A.2

Given the function y = f(x), such that the entire graph of the function lies above the x-axis. Which statement about y = f(x) is always true?

• f(x) > 0

• f(x) < 0

• x > 0

• f(x) > x

Tags

CCSS.HSF.LE.B.5

What is the value of f(−2) ?

• 36

• 28

• 16

• 0

Tags

CCSS.HSF.IF.A.2

• −4w⁶

• −4w³y

• 9w⁶

• 9w³