For a function to have an inverse, it must be _____.

One-to-one

A

Increasing

B

Linear

C

Trigonometric

D

One-to-one

A

Increasing

B

Linear

C

Trigonometric

D

Easy

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Choose the correct option to fill in the blank:

The domain of $y=\sin^{-1}x$y=sin−1x is equal to the _____ of $y=\sin x$y=sinx.

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$y=\cos^{-1}x$y=cos−1x is equivalent to $x=\editable{}$x= for $0\le y\le\pi$0≤y≤π.

The point $\left(\frac{\pi}{3},\frac{1}{2}\right)$(π3,12) lies on the graph of $y=\cos x$y=cosx. What is the corresponding coordinate pair on the graph of $y=\cos^{-1}x$y=cos−1x?

Outcomes

M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions