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Advanced Math Chapter 2 Objectives 2.1 – 2.3 Vocabulary: constant function decreasing function even function increasing function implied domain function function notation graph of a function linear equation in two variables odd function parallel lines perpendicular lines piecewise function rate of change relation relative minimum relative maximum secant line slope zeros of a function Theorems, formulas, etc. point-slope form slope-intercept form vertical line test tests for even and odd functions Objectives: After studying these sections, students should be able to: 2.1.1 use slop to graph linear equations in two variables 2.1.2 find slopes of lines 2.1.3 write linear equations in two variables 2.1.4 use slope to identify parallel and perpendicular lines 2.1.5 use slope and linear equations in two variables to model and solve real-life problems 2.2.1 determine whether or not relations between two variables are functions 2.2.2 use function notation and evaluate functions 2.2.3 find the domains of functions 2.2.4 use functions to model and solve real-life problems 2.2.5 evaluate difference quotients 2.3.1 use the vertical line test for functions 2.3.2 find the zeros of functions 2.3.3 determine intervals on which functions are increasing or decreasing and determine relative maximum and relative minimum values of functions 2.3.4 determine the average rate of change of a function 2.3.5 identify even and odd functions Assignments (subject to change) 2.1: vocab, 1 – 77 odd odd, 101 – 104 2.2: vocab, 1 – 85 odd odd 2.3: vocab, 1 – 37 odd, 71 – 83 odd, 97, 98 review: chapter review 19,55,57,73,75; chapter test 1 – 11 Advanced Math Chapter 2 Objectives 2.4 – 2.7 Vocabulary: composite function constant function greatest integer function identity function inverse function graph of a function linear function nonrigid transformation one-to-one functions reflection rigid transformation step function Theorems, formulas, etc. graphs of linear, squaring, cubic, square root, and reciprocal functions shifts in the graph of a function shrinks and stretches of a function arithmetic combinations of functions composition of functions horizontal line test Objectives: After studying these sections, students should be able to: 2.4.1 identify and graph linear and squaring functions 2.4.2 identify and graph cubic, square root, and reciprocal functions 2.4.3 identify and graph step and other piecewise-defined functions 2.4.4 recognize graphs of parent functions 2.5.1 use vertical and horizontal shifts to sketch graphs of functions 2.5.2 use reflections to sketch graphs of functions 2.5.3 use nonrigid transformations to sketch graphs of functions 2.6.1 add, subtract, multiply and divide functions 2.6.2 find the composition of one function with another function 2.6.3 use combinations and compositions of function to model and solve real-life problems 2.7.1 find inverse functions informally and verify that two functions are inverse functions of each other 2.7.2 use graphs of functions to determine whether functions have inverse functions 2.7.3 use the horizontal line test to determine if functions are one-to-one 2.7.4 find inverse functions algebraically Assignments (subject to change) 2.4: vocab, 1 – 49 odd odd, 62 2.5: vocab, 1 – 59 odd 2.6: vocab, 1 – 49 odd 2.7: vocab, 1 – 77 odd odd review: chapter review 81, 84, 86, 95,97, 107, 109, 127; chapter test 14 – 19