```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
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
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