## H.W. for MAC 1147H

The following lists the problems that you should be able to do on your own. Some of these problems will be formally assigned to be turned in and graded. I will also be adding problems to the list as the semester goes along. The page number refers to the .pdf page number using acrobat. The symbol * is used to indicate that this is a harder problem. By Chapters: Chapter 1.1, P. 19-21 Definition of a function, vertical line test, one-to-one and horizontal line test, indeterminants/variables, inputs (independent variable) and outputs (dependent variable) 8-14, 16-19, 20*, 21, 22,27-31, 32*, 33*, 35, 37, 40-51, 53-67 odd, 91. Chapter 1.2, P. 35-37 domain and range: interval notation and other notations, polynomials, linear and quadratics, radicals roots and denominators, piecewise polynomial, absolute value, 3, 7-25 odd, 26a.*, 27-37 odd, 47-53 odd, 57*, 60*, 61. Chapter 1.3, P. 48-50 average rate of change of interval [a,b], Delta notation, increasing, decreasing, local max and min, absolute max and min, 3, 5-15 odd, 17, 18, 22, 23, 24, 25, 29-31 odd, 42*, 43*, 44, 46, 47. Chapter 1.4, P. 60-63 sum/difference, ratios, products, composition, domain of composition, composition is not commutative 3, 5-21 odd, 27, 35, 39, 43-49 odd, 54-57, 59, 63, 73, 75, 77, 79, 80, 81, 83, 85, 86, 93*, 96*, 97. typo Figure 7 should be labelled g(x) Chapter 1.5, P. 85-88 vertical and horizontal shifts, reflections about x-axis and y-axis, even odd, neither, combine transformations, 11-19, 21, 23, 33-41 odd, 47-61 odd. Chapter 1.6, P. 98-99 absolute value functions 6, 7, 9, 11-23 odd, 25-35 odd, 39, 41-51 odd, 57*, 59*, 61* Chapter 1.7, P. 110-112 inverse functions 3, 13, 15, 17, 23, 25-32, 33-41 odd, 47 Chapter 2.1, P. 139-142 linear functions, point-slope form, slope-intercept form 3, 5, 6, 7-39 odd, 40, 41, 43, 45, 47, 63*, 65*, 66*, 67*, 69, 76 Chapter 2.2, P. 159-161 system of two equations and two unknowns, parallel or perpendicular or neither, x-intercepts, y-intercepts 7-27 odd, 31, 32-37, 39, 45-57 odd, 59, 61, 64, 65-69 odd, Chapter 3.2, P. 221-223 quadratic equations, parabola, vertex, general form, completing the square, standard form: a(x-h)^2+k, axis of symmetry, quadratic formula, h=-b/2a, k=f(h) 7-25 odd, 45, 47, 53, 55, 59, 60, 61, 85-92, Chapter 3.3, P. 236-238 polynomials, power function, generalized polynomials, rational functions, graphs, end behavior, degree, leading coeffecient, constant term, general form of a polynomail, 7-37 odd, 39-45 (which could be graphs of a polynomial?) Chapter 3.4, P. 254-256 domain of polynomials, find x-intercepts by factoring, find y-intercepts, x-intercept is also called a zero of the function or root of the function, mutliplicity of a root, maximum number of turning points, IVT, 7-21 odd, 25, 27, 29, 31-41 odd, 75, 77, 79 **- will be skipping on constructing a polynomial whose graph is the given graph. Chapter 3.5, P. 264-265 division algorithm for the integers, division algorithm for polynomials, the point is to use division to factor, dividend = divisor times quotient + remainder, will only discuss synthetic division but will not cover it 3-13 odd, 45, 47, 65, 67 Chapter 3.7, P. 295-298 rational functions, vertical asymptotes, domain of function, removable discontinuities, horizontal asymptote, slant asymptotes, graphing rational functions 6-9, 11-29 odd, 39-45 odd, 49, 75-79, 81* -- removed 31, 33, 47 slant asymptote Chapter 3.8, P. 5*, 7*, 9*, 11*, 13, 15, 17-27 odd, 29*, 31*, 57, 59, 63, 53, 55 42-46: just find domain Chapter 4.1, P. 340-342 expoenential growth and decay, exponential functions, f(x)=ab^{x}, base b has to be positive and not 1, finding equations of exponential functions, compond interest A(t)=P(1+ r/n)^{nt}, base e=\lim (1+1/n)^{n}. 4-7, 9-12 use calculator, 14-17, 31, 33, 34, 35, 36*, 39, 41, 45-49 odd, 61-67 odd Chapter 4.2, P. 352-354 transformations of exponential, vertical and horizontal shifts, 13-22, 29-37 odd, 39, 41 Chapter 4.3, P. 361-362 logarithms, natural logarithms, base, logarithmic regression 7-35 odd Chapter 4.4, P. 377-379 grapsh of logs, domain, inverse functions, 7-25 odd, 26-30, 31-33, 38-40, 59*, 60* Chapter 4.5, P. 389 properties of logs, log(uv)=log u + log v, log(u/v)=log u - log v, log (b^c) = c log b, log_{b}M = logM / logChapter 5.1, P. 455-456 measure of an angle, degrees, radians, conversions, quadrants, unit circle with angels, unit circle with radians, Θ =s/r where s is arc length, sector area A= 1/2 Θ r^2, angular and linear speed, subtended 6-21, 22-25, 27-39 odd, 41, 43, 45, 47, 49, 51, 53, 55, 57, 58-61, 65*, 67. Chapter 5.2, P. 470-472 sin and cosine functions, sohcahtoa 6-9, 10-22, 23-33, 34, 35, 37, 38, 39, 41-49, 51, 53, 55, 57, 59, 60-69, 72-76, 79, 91-99 odd, 100, 101. Chapter 5.3, P. 484-485 tan, cot, sec, csc, fundamental identities, simplify trig expressions, alternate forms of the pythagorean theorem, period of a function 1, 6-17, 19-37 odd, 49, 51, 71, 74*. Chapter 5.4, P. 495-497 solving triangles, angle of elevation, angle of depression, 7, 9, 11-31 odd, 43, 45, 47, 49, 51, 53, 55. Chapter 6.1, P. 520-522 amplitude, period, midline, horizontal and vertical shifts, finding solutions of f(x)=sin x and g(x)=cos x 7-15 odd, 19, 20, 23-27 (* for equation), 31-36, 38-42, 48* Chapter 6.2, P. 538-540 6-9, 10-16, 17, 19-33 odd, 39, 45, Chapter 6.3, P. 550-551 8-16, 22, 23, 24, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 39, 43, 45, 47, 53, 55, 59, 61. Chapter 7.1, P. 568-569 trid identities 5-15, 17-27 odd, 29-33 odd, 35, 37, 39 Chapter 7.2, P. 568-569 trid identities 5-17 odd, 21, 23, 47, 49, 51, 53, 55 Chapter 7.3, P. 594-595 trid identities 5-43 odd, 55-63 odd Chapter 7.5, P. 594-595 trid identities 5-31 odd, 35, 39, 41, 42, 48, 51, 52, 53, 65, 85, 89,b 3-25 odd Chapter 4.6, P. 399-400 5-27 odd, 31-35 odd, 37-49 odd, 65, 67,