Determine the period, phase shift, vertical shift, and the equations of at least two vertical Example 2: asymptotes of each. Then graph. a. b. Example 3: Derive an equation with the given characteristics then graph each. a. cotangent: period , phase shift left b. tangent: period , phase shift left The secant function: The secant function exhibits the following properties: period is 2 It’s For all sec (-x) = sec It is an even function. x, x. Its graph is symmetric with respect to the y-axis. Its domain: the secant is undefined at all odd multiples of and has vertical asymptotes at every line with equation Its range is (-, -1] [1, )
Example 2: Determine the period, phase shift, vertical shift, and the equations of at least two vertical asymptotes of each. Then graph. a. b. Example 3: Derive an equation with the given characteristics then graph each. a. cotangent: period , phase shift left b. tangent: period , phase shift left The secant function: The secant function exhibits the following properties: It’s period is 2 For all x, sec (-x) = sec x. It is an even function. Its graph is symmetric with respect to the y-axis. Its domain: the secant is undefined at all odd multiples of and has vertical asymptotes at every line with equation Its range is (-, -1] [1, )
4.3%20Graphing%20Other%20Trigonometric%20Functions.docx