Question Info

This question is public and is used in 4 tests or worksheets.

Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSF-TF.B.6
Author: nsharp1
Created: 4 years ago

View all questions by nsharp1.

Trigonometry Question

View this question.

Add this question to a group or test by clicking the appropriate button below.

Grade 11 Trigonometry CCSS: HSF-TF.B.6

For f(x)=tan(x), why is the standard domain restriction -π2<x<π2 instead of 0x<π?
  1. On the interval [0,π), the tangent function is not strictly increasing, and so the inverse will not be a function.
  2. It is easier to not have a discontinuity in the inverse function.
  3. An inverse function cannot have an asymptote.
  4. The standard domain restriction used for the tangent function is the only way to ensure that 0 is included in the range of the inverse function.