What are the important information needed to graph $y = tan ((\frac{π}{2}) x)$ $y=tan((pi/2)x)$ ?

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Answer 1 · 2018-06-18T01:26:49

As below.

Form of equation for tangent function is $A tan (B x - C) + D$ $A tan (Bx - C) + D$

Given : $y = tan ((\frac{π}{2}) x)$ $y = tan ((pi/2)x)$

$A = 1, B = \frac{π}{2}, C = 0, D = 0$ $A = 1, B = pi/2, C = 0, D = 0$

$Amplitude = | A | = NONE for tangent function$ $"Amplitude " = |A| = "NONE" " for tangent function"$

$Period = \frac{π}{| B |} = \frac{π}{\frac{π}{2}} = 2$ $"Period " = pi / |B| = pi / (pi/2) = 2$

$Phase Shift " = -C / B = 0$

$"Vertical Shift " = D = 0$

graph{tan ((pi/2)x) [-10, 10, -5, 5]}

What are the important information needed to graph y=tan((pi/2)x) y=tan((π2)x) y=tan((pi/2)x) ?