Section 1.2 Graphs of Functions.

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Presentation transcript:

Section 1.2 Graphs of Functions

Objective By following instructions students will be able to: Find the domain and ranges of functions. Use the vertical Line Test for functions. Determine intervals on which functions are increasing or decreasing. Determine relative maximum and relative minimum values of functions. Identify and graph step functions and other piecewise- defined functions. Identify even and odd functions.

Example 1: Use the graph of the function f shown to find The domain of f The functions values f(-1) and f(2) The range of f

Example 2: Find the domain and range of .

Example 3: Which of the graphs represent y as a function of x?

Example 4: Determine the open intervals on which each function is increasing, decreasing, or constant.

Example 5: Use a graphing utility to approximate the relative minimum of the function .

Example 6 Use a graphing utility to approximate the relative minimum and relative maximum of the function .

Revisit Objective Did we… Find the domain and ranges of functions? Use the vertical Line Test for functions? Determine intervals on which functions are increasing or decreasing? Determine relative maximum and relative minimum values of functions? Identify and graph step functions and other piecewise- defined functions? Identify even and odd functions?

Homework HW: I: pg 68 # 33 pg 83 #s 32, 42 II:pg 96 #s 1-17 ODD, 31-35 ODD III: pg 99 #s 97, 98