**Domain: **The function

f(x) =x^{2}+ 2

is defined
for all real values of *x* (because there are no restrictions on the value of *x*).

Hence, the **domain** of `f(x)` is

"all real values of

x".

**Range: **Since *x*^{2} is never negative,
*x*^{2} + 2 is never less than `2`

Hence, the **range** of `f(x)` is

"all real numbers `f(x) ≥ 2`".

We can see that *x* can take any value in the graph, but the resulting *y *=* f*(*x*) values are greater than or equal to 2.

Range: `y>=2`

Domain: All `x`

**Note**

- It is important to label the
**axes**when sketching graphs. It helps with understanding what the graph represents. - We saw how to sketch such graphs in Graph of a Function.

Easy to understand math videos:

MathTutorDVD.com