Question 156196
find domain and range for {{{y= x^2+3}}}
<pre><font size = 4 color = "indigo"><b>
The domain for every polynomial is ({{{-infinity}}},{{{infinity}}})

To find the range, solve for x:

{{{y= x^2+3}}}

{{{y-3=x^2}}}

{{{x^2=y-3}}}

{{{sqrt(x^2)}}}= ±{{{sqrt(y-3)}}}

{{{x}}}= ±{{{sqrt(y-3)}}}

What is under a square root must be greater than
or equal to 0, so

{{{y-3>=0}}}

{{{y>=3}}}

In interval notation that is 

[3,{{{infinity}}}).

Edwin</pre>