What is the f(x)=arcsec(2x) ?

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f(x)=arcsec(2x)

f (x) = arcsec (2 x)

Domain : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range : - π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

X Intercepts : (\frac{1}{2}, 0)

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

Interval Notation

Domain : (- \infty, - \frac{1}{2}] \cup [\frac{1}{2}, \infty)

Range : (- π, - \frac{π}{2}] \cup (0, \frac{π}{2})

Solution steps

Domain of

arcsec (2 x) : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range of

arcsec (2 x) : - π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

Axis interception points of

arcsec (2 x) :

X Intercepts

: (\frac{1}{2}, 0)

Asymptotes of

arcsec (2 x) :

Horizontal

: y = \frac{π}{2}

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