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

Question

asked Jun 6, 2022 142k views

1 Answer

Realist · Answer 1 · 2022-06-13T15:15:27+0000

Answer:

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

$Range = (0,1)\\$

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)