Question

Find the domain and range of the function, f(x)=sin|x|

Answer 1

`Domain = (-\infty,\infty)`

`Range = (0,1)\\`

Explanation:

Given

`f(x) = \sin|x|`

Solving (a): The domain

There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction

Hence, the domain is:

`(-\infty,\infty)`

Solving (b): The range

The minimum of a sine function is 0

The maximum of a sine function is 1

So, the range is:

`(0,1)`