What is the domain and range of $y = | x | + 5$ $y = |x| + 5$ ?

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Answer 1 · 2018-07-03T05:12:55

The domain is $x in RR$ . The range is $y in [5, +oo)$

The function is

$y=|x|+5$

For the absolute value, $x$ can take any value.

Therefore, the domain is $x in RR$

The minimum value of $y$ is when $x=0$

$=>$ , $y=5$

And due to the presence of the asolute value, $y$ can take only positive values as

$|-x|=x$

Therefore, the range is $y in [5, +oo)$

graph{|x|+5 [-56.73, 60.37, -20.6, 37.95]}

What is the domain and range of y = |x| + 5y=|x|+5y = |x| + 5?