How do you find the domain and range of $f(x)=x^2+5$ ?

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Answer 1 · 2018-07-03T05:23:20

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

The function is

$y=x^2+5$

This is a polynomial function, $x$ 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 $x^2$ , $y$ can take only positive values as

$(-x)^2=x^2$

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

graph{x^2+5 [-56.73, 60.37, -20.6, 37.95]}

How do you find the domain and range of f(x)=x^2+5f(x)=x^2+5?