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14-1 Graphing Trig. Functions (Day 2). Find the Following Values using Your Calculator:. = undef. t an (- π /2) tan (- π /4) tan (0) t an ( π /4) tan ( π /2). The graph of y= tan (x) is different from the other graphs:. = -1. = 0. 1. = 1. = undef. Period: π. - 1. Asymptote.
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Find the Following Values using Your Calculator: = undef. • tan (-π/2) • tan (-π/4) • tan (0) • tan (π/4) • tan (π/2) The graph of y= tan (x) is different from the other graphs: = -1 = 0 1 = 1 = undef. Period: π - 1 Asymptote Asymptote
Properties of y = atan (bx): y = atan (bx) is also periodic. y = tan (x): a tells you what points to graph on the y-axis.
Ex 1: Graph one cycle then label the asymptotes and the period y = 4tan 3x a = 4 b = 3 4 The first point will be on the origin. The next 2 points will be half way in between the origin and the asymptote. Use “a” as a measure of height. - 4
Ex : Graph one cycle then label the asymptotes and the period. y = ½ tan πx a = ½ b = π ½ = 1 -½
Exit Slip: Graph one cycle then label the asymptotes and the period. y = 3 tan 2πx