COLLEGE ALGEBRA



ALGEBRA FOR CALCULUS Topics List for Chapter 1 Exam

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Section 1.1

• Given an equation in two variables, be able to find intercepts & graph it; like# 15 – 37 on p. 70

• Be able to derive distance formula using Pythagorean Theorem

• Find distance between 2 points, like #39-51 on pp. 70-71

• Find midpoint of segment, given two points.

• Find equation for a circle given certain conditions, like #71-78 p. 71

• Complete the square to find center and radius of circle, like extra problems given for hw.

Section 1.2

• Given a correspondence, decide whether or not it is a function; like 1 – 20 on pp. 84-85

• Explain why the Vertical Line Test works

• Read function values from a graph

• Find function values given a function formula

• Find domain of given function, from a set of points, from a graph, and from a function rule

• Interpret function values in a word problem, like # 73 – 75 p. 88

• Synthesis problems p. 89 (may be a bonus problem from this section)

Section 1.3

• Find slope given two points

• Find and interpret slope in context, like 41-48 on pp. 100 – 101.

Section 1.4

• Find slope and y-intercept given linear function (#1 – 18, p. 115)

• Write equation for line given two points (#31-36 on p. 115)

• write equation for linear function given two points in context, (#45 – 52 on p. 116)

• write equation for line parallel or perpendicular to given line (#61 – 68 on p. 116)

• write equation for line given information in context (#75 – 80 on pp. 116 – 117)

Section 1.5

• Given graph of a function, identify intervals over which the function is increasing, decreasing, or constant (#1 – 6 on pp. 127 – 128)

• Write a function rule for a given real world scenario, especially the area problems on

pp. 128-130 (#23, 28, 31, 32) and on the extra worksheet

• Given a function rule defined piecewise, determine function values (#35 – 38 on p. 130)

• Given a function rule defined piecewise, hand sketch its graph (#39 – 51 on pp. 130 – 131)

• Given a graph of a piecewise function, write its function rule ((#59 – 64 on p. 131)

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