### Topics and Practice Problems

 Week of Topics Suggested Practice Problems Jan 23 Sec 1.1: What is a Function? Sec 1.2: Functions and Expressions Sec 1.3: Functions and Equations Section 1.1: #1,2,3,5,7,9,11,13,15,17,19,21,25,27,31,32,33,37,39 Section 1.2: #1,5,9,11,15,17,19,20,21,25,27,29,31,33,35,37,39 Section 1.3: #1,3,5,7,11,17,19,21,27,29,33,35(a),37,39,45,47,49,51,53,63,67 Jan 30 Sec 1.4: Functions and Change Sec 2.1: Introduction to Linear Functions Sec 2.2: Linear Expressions Section 1.4: #1,3,5,7,9,11,13,17,19,21,23,24,27,31,34,35,37,39 Section 2.1: #1,5,7,9,11,15,16,17,19,21,25,27,37,41,43,45,47,49 Section 2.2: #3,5,9,11,12,13,15,17,23,25,26,27,29,31,33,34,37,43,45,47,49,51,53,55,59,61,67 Feb 6 Sec 2.3: Linear Equations Sec 2.4: Equations for Lines in the Plane Sec 2.6: Systems of Linear Equations Section 2.3: #1,2,3,4,5,7,9,11,13,14,19,23,35,37,39,41,43,45,47,51,61,63,65,67 Section 2.4: #1,3,5,7,9,13,15,17,19,21,23,25,27,31,33,35,37,38,39,40,41,43,45,46,47,48,49,59,61,62,63,65,67,71,73 Section 2.6: #1,3,5,6,7,8,11,13,18,19,20,21,23,25,27,29,30,37,39,45,51,52,53,55,58,60 From review problems for Chapter 2: page 92-93: 77,78,79,80,81,82. In the latter six problems, if a function is linear, find a formula. Feb 13 Sec 3.1: Introduction to Quadratic Functions Sec 3.2: Quadratic Expressions Sec 3.3: Converting to Factored and Vertex Form Section 3.1: #1,3,5,6,9,11,13,15,17,18,21,23,25,27,33 Section 3.2: #1,3,4,5,7,9,11,13,15,16,17,19,21,23,25,27,29,31,33,35,37,38,41,42,44,46,57 Section 3.3: #3,5,6,7,9,13,15,16,17,19,21,25,27,31,33,35,36,37,39,41,43,45,47 Feb 20 No classes M Exam I, Feb 21, Tue 6-7:30pm, Chafee 271 Sec 3.4: Quadratic Equations Sec 4.1: Power Functions: Positive Exponents Sec 4.2: Power Functions: Negative and Fractional Exponents Section 3.4: #3,5,9,10,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,66,67,71 Section 4.1: #1,5,13,15,17,21,23,24,25,28,29,30,31 Section 4.2: #1,4,5,7,9,11,13,14,15,16,17,18,19,21,23,25,27,29,31 Feb 27 Sec 4.3: Power Functions and Expressions Sec 4.4: Power Functions and Equations Sec 5.1: Domain and Range Section 4.3: #1-9,11,13,15,17,19,20,21,23,25,27,29,31,33-40,50,51,53,54,55,57,59,65,70,71,72 Section 4.4: #1-5,7,13,15,23,25,27,31,33,35,37,38,41,43,45,47,49,55,57,79; From review problems for Chapter 4: page 172: 1,2,3,4,5,6,7,8,9,14,15,17,20,21,27; page 175: 1,9,17,19. Section 5.1: #1,5,6,7,9,11,13,15,17,19,25,27,29,32,35,37,39,41,43,45,51,55,57,59,60 Mar 6 Sec 5.2: Composing and Decomposing Functions Sec 5.3: Shifting and Scaling Sec 5.4: Inverse Functions Section 5.2: #1,2,3,4,7,8,9,10,11,12,13,17,20,22,24,25,30,31,33,35,37,38,41 Section 5.3: #1,2,3,4,7,,9,11,13,15,17,19,21,23,25,29,31,35,37,41,43,45,47 Section 5.4: #1,3,5,7-11,13,17,19,33,35 Mar 13 Spring Break Spring Break Mar 20 Exam II, Tue, Mar 21, 6-7:30pm, Chafee 271 Sec 6.1: Exponential Functions Sec 6.2: Exponential Expressions: Growth Rates Section 6.1: #1,3,5,7,8,9,13,14,15,19-23,25,29,31,32,34,43-45,47,49 Section 6.2: #1,3,5,7,9,11,21,23,25,33,36,37,40-45,50,51,53,57-59 Mar 27 Sec 6.3: Exponential Expressions: Half-Life and Doubling Time Sec 6.6: Exponential Functions and base e Section 6.3: #1,3,5,7,9,11,13,19,21,23,25,27,39,41,43,48,51,53 Section 6.6: #1,3,5,7,9,11,15,17,19,24,25,27,29,33,37 Apr 3 Sec 7.1: : Introduction to Logarithms Sec 7.2: Solving Equations Using Logarithms Section 7.1: #1,2,3,5,6,8,9,11,13,33,35,36,37,39,41,43,45,46,47,49,51,53,54,55,56,57,58,59,61,63,65,73,74,76,77,79,81 Section 7.2: #9,11,13,15,17,19,25,27,31,33,35,37,39,41,43,45,47,51,53,55,57,58-61,63 Apr 10 Sec 7.3: Applications of Logarithms to Modeling Sec 7.4: Natural Logarithms and Other Bases Section 7.3: #1,3,5,7,9,11,13,15,19,21,26,27,28,29,31,33,37,39,45,49,51,54 Section 7.4: #1,3,5,6,7,8,9,10,11,13,15,20,24,21,23,25,26,27,29,31,33,36,37,39,41,49,50,51,53 Apr 17 Handout on Trigonometry Section H1: Periodic Functions Handout on Trigonometry Section H2: Angles on the Unit Circle. Radian Measure Handout on Trigonometry Section H3: Sine and Cosine on the Unit Circle Section H1: #1-6 Section H2: #1-21 Section H3: #1-11 Apr 24 Exam III, Tue, Apr 25, 6-7:30pm, Chafee 271 Handout on Trigonometry Section H4: Trigonometric Functions. Modelling Section H4: #1-13 May 1 Classes end MReview