M September 16 Topics: 3.1, 3.2, 3.3, 4.1 Notes: 09.16a graphs of parent functions I, 09.16b graphs of parent functions, II, 09.16c, 09.16d 3.1 - Functions and Function Notation, pg. 160, Learning Objectives * Determine whether a relation represents a function. * Find the value of a function. * Determine whether a function is one-to-one. * Use the vertical line test to identify functions. * Graph the functions listed in the library of functions. 3.2 - Domain and Range, pg. 180, Learning Objectives * Find the domain of a function defined by an equation. * Graph piecewise-defined functions. 3.3 - Rates of Change and Behavior of Graphs, pg. 196, Learning Objectives * Find the average rate of change of a function. * Use a graph to determine where a function is increasing, decreasing, or constant. * Use a graph to locate local maxima and local minima. * Use a graph to locate the absolute maximum and absolute minimum. 4.1 - Review of slopes and functions, pg. 280, Learning Objectives * Represent a linear function. * Determine whether a linear function is increasing, decreasing, or constant. * Interpret slope as a rate of change. * Write and interpret an equation for a linear function. * Graph linear functions. * Determine whether lines are parallel or perpendicular. * Write the equation of a line parallel or perpendicular to a given line.
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domain | range | real zeros | |
Graphs jpg | Details pdf | Library web pages | |
ODD/EVEN definitions odd/even/neither smile | |||
odd definition | even definition | Symbols & words gif | |
identity function | opposite | reciprocal function |
squaring function | square root function | |
absolute value function and absolute value | ||
piecewise defined | greatest integer function | |
reciprocal gsp, 1/x, etc. -- reciprocal functions
* VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER! |
absolute value gsp -- |x|, functions controlled by parameters and NOT controlled by parameters |
2graphs.gsp -- 1,2 graphed functions, piece-wise, composite ready to edit, link to "coordinate" and more history, table of f(x) gps files |
graphs gsp -- 1 or 2 graphed functions ready to edit |
squaring gsp, parabola -- Multi page: 2 parabolas: 1 in general form, 1 in standard forms, ... |
square root gsp -- 2 square root functions defined by easy-edit parameters |
piece-wise gsp -- graphs a piecewise defined function when left function and right function |
absValu.gsp -- 2 absolute value functions controlled by parameters |
greatest integer function gsp, [[x]] -- also a[[bx+c]] + k |
reciprocal functions -- graph of parameter-defined reciprocal function,
* with slide-able tangent line, * VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER! |
composite functions gsp -- build 2 functions using other functions |
inverse gsp -- take an inverse of an invertable fdunction, horizontal & vertical line tests |
parentFX gsp -- function "manipulatives" |
parentFX2 gsp> -- revised function "manipulatives" |
3.3 - Rates of Change and Behavior of Graphs, pg. 196, Learning Objectives * Find the average rate of change of a function. * Use a graph to determine where a function is increasing, decreasing, or constant. * Use a graph to locate local maxima and local minima. * Use a graph to locate the absolute maximum and absolute minimum. 4.1 - Review of slopes and functions, pg. 280, Learning Objectives * Represent a linear function. * Determine whether a linear function is increasing, decreasing, or constant. * Interpret slope as a rate of change. * Write and interpret an equation for a linear function. * Graph linear functions. * Determine whether lines are parallel or perpendicular. * Write the equation of a line parallel or perpendicular to a given line.
© 9/17/2024, A2
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