Let's graph the function by making a table of values.
x
x+8−2
f(x)=x+8−2
-8
-8+8−2
-2
-7
-7+8−2
-1
-6
-6+8−2
≈-0.59
-5
-5+8−2
≈-0.27
-4
-4+8−2
0
-3
-3+8−2
≈0.24
Let's now plot the points and connect them with a smooth curve.
Domain
The domain of radical functions only includes values for which the radicand is non-negative. f(x)=x+8−2
We can solve for these values of x by only looking at the radicand.
x+8≥0⇔x≥-8
The domain is all real numbers greater than or equal to-8.
Range
To identify the range, we will draw the graph of the function.
We can see that the range is all real numbers greater than or equal to-2.