Use the commutative and associative properties to simplify the expression.- 
? (8y)
A. -4y
B. 3y
C. 2y
D. -2y
Answer: D
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Identify the function's local and absolute extreme values, if any, saying where they occur.f(x) = x3+ 9x2 + 27x + 4
A. local maximum at x = -3; local minimum at x = 3 B. local minimum at x = -3 C. no local extrema D. local maximum at x = -3
Write an equation of the line passing through the given points.(0, 0) and 
A. y = 
B. y = 8x
C. y = 
x
D. y = 8
Explain the behavior of the graph of f(x) as it approaches its vertical asymptote.f(x) = 
A. Approaches ? from the left, approaches -? from the right B. Approaches ? from the left and the right C. Approaches -? from the left, approaches ? from the right D. Approaches -? from the left and the right
Solve the problem.In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.
Using a graphing utility, fit a logarithmic function y = a + b ln x to the data. Using the function you found, estimate how long will it take for the test scores to fall below 84%. Express your answer to the nearest month.
A. 20 months B. 8 months C. 10 months D. 12 months