What is the f(x)=arctan(4x) ?

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f(x)=arctan(4x)

f (x) = arctan (4 x)

Domain : - \infty < x < \infty

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

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

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

Interval Notation

Domain : (- \infty, \infty)

Range : (- \frac{π}{2}, \frac{π}{2})

Solution steps

Domain of

arctan (4 x) : - \infty < x < \infty

Range of

arctan (4 x) : - \frac{π}{2} < f (x) < \frac{π}{2}

Axis interception points of

arctan (4 x) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

arctan (4 x) :

Horizontal

: y = \frac{π}{2}, y = - \frac{π}{2}

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