y = sec x

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## y = sec x

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**y = sec x**• Recall from the unit circle that: • sec = r/x. • sec is undefined whenever x = 0. • Between 0 and 2, y = secx is undefined at x = /2 and x = 3/2. y=secx**Domain**• Since sec x is undefined at /2, 3/2, etc., the asymptotes appear at /2 + k y=secx**Range of Secant Function**• The range of every secant graph varies depending on vertical shifts. • The range of the parent graph is (-, -1]U[1, ) y=secx**Period**• One complete cycle occurs between 0 and 2. • The period is 2. y=secx**Critical Points**• The parent graph has a local maximum at (, -1). • The parent graph has a local minimum at (0, 1) and (2,1). y=secx**y = a sec b(x-c) +d**• a = vertical stretch or shrink • If |a| > 1, the graph has a vertical stretch . • If 0<|a|<1, the graph has a vertical shrink . • If a is negative, the graph reflects about the x-axis. y=secx**y = a sec b (x - c) +d**• b= horizontal stretch or shrink • Period = 2/b • If |b| >1, the graph contains a horizontal shrink . • If 0<|b|<1, the graph contains a horizontal stretch. y=secx**y = a sec b(x - c ) +d**• c= horizontal shift • if c is negative, the graph shifts left c units. • if c is positive, the graph shifts right c units. y=secx**y = a sec b(x - c) + d**• d= vertical shift • If d is positive, the graph shifts up d units. • If d is negative, the graph shifts down d units y=secx**Parent Function: y = sec x**• Important Points: • : asymptote • Important Points: • : asymptote • Important Points: • : asymptote y=secx**Graph: y = sec x**y=secx**Graph: y = 3 sec x**y=secx**Graph: y = sec ½ x**y=secx**Graph:**y=secx**Graph: y = sec x - 3**y=secx**Graph:**y=secx