What is the range of arcsin(x) ?

The range of arcsin(x) is -pi/2 <= f(x)<= pi/2

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range of arcsin(x)

range

arcsin (x)

- \frac{π}{2} \leq f (x) \leq \frac{π}{2}

Interval Notation

[- \frac{π}{2}, \frac{π}{2}]

Solution steps

The range of the basic

arcsin

function is

- \frac{π}{2} \leq arcsin (x) \leq \frac{π}{2}

- \frac{π}{2} \leq arcsin (x) \leq \frac{π}{2}

Therefore the range is

- \frac{π}{2} \leq f (x) \leq \frac{π}{2}

x^{2} + 6 x + 3

y = x^{2} - 6 x + 18

(x + 6)^{5}

\frac{x + 7}{x - 1}

f (x) = x^{4} + 1