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Popular Calculus >

f(x)=arctan(sqrt(x))

Solution

f (x) = arctan (x)

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}

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Interval Notation

Domain : [0, \infty)

Range : [0, \frac{π}{2})

Solution steps

Domain of

arctan (x) : x \geq 0

Range of

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

Axis interception points of

arctan (x) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

arctan (x) :

Horizontal

: y = \frac{π}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=arctan(sqrt(x)) ?
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