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Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 4

Find the horizontal asymptote, if any, of the graph of the rational function.

8x 2

21) g(x) =

21)

2x 2 + 1

Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval

notation.

22) x 2 + 3x - 4 > 0

22)

Solve the exponential equation. Express the solution set in terms of natural logarithms.

23) e 2x = 7

23)

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places,

for the solution.

x + 7

24) 5

= 8

24)

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic

expressions. Give the exact answer.

25) log 5 (x + 2) = -3

25)

26) 2 ln (7x) = 18

26)

Solve the problem.

27) The formula A = 238e 0.032t models the population of a particular city, in thousands, t

27)

years after 1998. When will the population of the city reach 317 thousand?

Find the exact value of the expression.

-2

28) sin

28)

-5

29) sec

29)

Find the exact value of the expression.

30) sin -1

30)

Find the exact value of the expression.

31) cos sin -1

31)

Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 4