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Write an equation of a tangent function with the following characters Period = 1 Vertical
Asymptotes: x = plusminus 1/2, plusminus 3/2, plusminus 5/2, ... (odd integer multiples of 1/2)
Midline y = -1
Solution
comparing with y =tan(Bx+C) +D
period /B=1
=>B=
midline y =-1
=>D=-1
vertical asymptotes when x =1/2,(Bx+C)=/2
((/2)+C)=/2
=>C=0
equation of tangent function is y =tan(x) -1

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Write an equation of a tangent function with the following characters.pdf

  • 1. Write an equation of a tangent function with the following characters Period = 1 Vertical Asymptotes: x = plusminus 1/2, plusminus 3/2, plusminus 5/2, ... (odd integer multiples of 1/2) Midline y = -1 Solution comparing with y =tan(Bx+C) +D period /B=1 =>B= midline y =-1 =>D=-1 vertical asymptotes when x =1/2,(Bx+C)=/2 ((/2)+C)=/2 =>C=0 equation of tangent function is y =tan(x) -1