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At the end of Chapter 5, you should have mastered the following skills and be ready to test:
Graph reciprocal functions and/or identify their asymptotes, as in problems 5-7, 5-68, 5-74 (c), 5-101, and CL 5-135.
Solve polynomial and rational inequalities, as in problems 5-24, 5-76, 5-125, and CL 5-136.
Analyze situations involving exponential functions (that do not require the use of logarithms), as in problems 5-4, 5-5, 5-20, 5-45, 5-104, and CL 5-128.
Rewrite equations of exponential functions in the form y=a·b^x as in problems 5-19, 5-30, 5-72, 5-113, and CL 5-129.
Understand the inverse relationship between exponents and logarithms, as in problems 5-43, 5-87 (a), CL 5-132, and CL 5-134.
Use the definition of a logarithm to evaluate expressions, as in problems 5-25, 5-64, 5-114, and CL 5-130.
Rewrite expressions using the properties of logarithms, as in problems 5-63, 5-71, 5-88, 5-115, and CL 5-133.
Solve basic equations with exponents and logarithms, as in problems 5-35, 5-44, 5-86, 5-121 (a), and CL 5-131.
Graph basic transformations of the family of logarithmic functions, as in problems 5-98, 5-116, and CL 5-132.
Solving more complicated equations with exponents and logarithms, as in problems 5-78, 5-85, and 5-121 (b) – (d).
Graphing more complicated transformations of the family of logarithmic functions, as in problem 5-122.
Solving application problems involving the use of logarithms, as in problems 5-112 and 5-120.