What is the f(x)=arctan(x^2) ?

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f(x)=arctan(x^2)

f (x) = arctan (x^{2})

Domain : - \infty < x < \infty

Range : 0 \leq f (x) < \frac{π}{2}

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

Asymptotes : Horizontal y = \frac{π}{2}

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

arctan (x^{2}) : - \infty < x < \infty

Range of

arctan (x^{2}) : 0 \leq f (x) < \frac{π}{2}

Axis interception points of

arctan (x^{2}) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

arctan (x^{2}) :

Horizontal

: y = \frac{π}{2}

\frac{x ^{5}}{5} + \frac{1}{12 x ^{3}}

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