# What is the domain and range of abs(cos x)?

Jul 4, 2016

Domain of $f = \mathbb{R} .$

Range of $f$ = $\left[0 , 1\right] .$

#### Explanation:

Let $f \left(x\right) = | \cos x |$

Since $x$ can take any value, Domain of $f = \mathbb{R} .$

Now we know that, $\forall x \in \mathbb{R} , - 1 \le \cos x \le + 1.$

Therefore,$0 \le | \cos x | \le 1.$ Hence, Range of $f$ =[0,1]#