Algebra Examples

Find the Domain and Range f(x) = square root of x-3
Step 1
Set the radicand in greater than or equal to to find where the expression is defined.
Step 2
Add to both sides of the inequality.
Step 3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 4
The range is the set of all valid values. Use the graph to find the range.
Interval Notation:
Set-Builder Notation:
Step 5
Determine the domain and range.
Domain:
Range:
Step 6