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Popular Calculus >

f(x)=tan((pix)/2)

Solution

f (x) = tan (\frac{π x}{2})

Solution

Period : 2

Domain : 2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

Range : - \infty < f (x) < \infty

X Intercepts : (2 n, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1 + 2 n

Extreme Points : None

+1

Interval Notation

Domain : [2 n, 1 + 2 n) \cup (1 + 2 n, 2 + 2 n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (\frac{π x}{2}) : 2

Domain of

tan (\frac{π x}{2}) : 2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

Range of

tan (\frac{π x}{2}) : - \infty < f (x) < \infty

Axis interception points of

tan (\frac{π x}{2}) :

X Intercepts

: (2 n, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (\frac{π x}{2}) :

Vertical

: x = 1 + 2 n

Extreme Points of

tan (\frac{π x}{2}) :

None

Graph

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Frequently Asked Questions (FAQ)

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