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Popular Calculus >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) < \frac{π}{2}

Y Intercepts : (0, \frac{π}{4})

Asymptotes : Horizontal y = \frac{π}{2}, y = 0

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{π}{2})

Solution steps

Domain of

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

Range of

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

Axis interception points of

arctan (e^{2 x}) :

Y Intercepts

: (0, \frac{π}{4})

Asymptotes of

arctan (e^{2 x}) :

Horizontal

: y = \frac{π}{2}, y = 0

Graph

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Frequently Asked Questions (FAQ)

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