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At the end of Chapter 4, you should have mastered the following skills and be ready to test:
Approximate area under the curve using right or left endpoint rectangles, as in problems 3-134, 4-10, 4-45, and CL 4-128.
Sketch the graph of a polynomial function in factored form, as in problems 4-6, 4-14, 4-44, 4-75, and CL 4-129.
Given the x-intercepts (or roots) of a polynomial, write its equation, as in problems 4-27, 4-76, 4-111, and CL 4-130.
Determine the roots of a polynomial or solve polynomial equations, as in problems 4-42, 4-58, 4-83, 4-122, and CL 4-131.
Graph transformations of rational functions, as in problems 4-77, 4-110, 4-124 (a) and (c), and CL 4-132.
Identify horizontal, vertical, and slant asymptotes, as in problems 4-56, 4-82, 4-100, and CL 4-132.
State the end behavior of a polynomial or rational function, as in problems 4-6, 4-44, 4-75, 4-110, 4-120, and CL 4-135.
Graphing reciprocal functions, as in problem 4-114.
Solving polynomial and rational inequalities, as in problems 4-109 and 4-119.
Applications of polynomial and rational functions, as in Lesson 4.3.2.