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Popular Calculus >

f(x)=arctan(x^{1/2})

Solution

f (x) = arctan (x^{\frac{1}{2}})

Solution

Domain : x \geq 0

Range : 0 \leq f (x) < \frac{π}{2}

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

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

+1

Interval Notation

Domain : [0, \infty)

Range : [0, \frac{π}{2})

Solution steps

Domain of

arctan (x^{\frac{1}{2}}) : x \geq 0

Range of

arctan (x^{\frac{1}{2}}) : 0 \leq f (x) < \frac{π}{2}

Axis interception points of

arctan (x^{\frac{1}{2}}) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

arctan (x^{\frac{1}{2}}) :

Horizontal

: y = \frac{π}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=arctan(x^{1/2}) ?
The f(x)=arctan(x^{1/2}) is