Back to Restrict domain for inverse trig functions — Problem 1 · Task Set 73

HSF.TF.B.6 Tutor Intake — Inverse Trig Domain Restrictions

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-tf-b-6

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Concepts

Why does $y = \sin(x)$ not have an inverse function on its full domain?

It fails the horizontal line test — many $x$ -values share the same $y$ -value.

It is not defined for all real numbers.

Its range does not include all real numbers.

It passes the vertical line test.