1. Domain & Range 3.3
(From a graph & equation)

2. Use the graph to find the domain and range
The graph represents the points
(-1.8,5.2)
(-4.8,3.2)
(-4.8, -2.8)
The domain is: {-1.8, -4.8}
The range is {2.8, 3.2, 5.2}

3. Name the Domain and Range From a Graph
The set of ordered pairs may be an infinite number of points as described
by a graph.
Domain:{all numbers}
Range:{y:y≥0}

4. Does the graph represent a function? Name the domain and range.x y
Yes
D: all reals
R: all reals
R: y ≥ -6 x y

5. Does the graph represent a function? Name the domain and range.x y No
D: x ≥ 1/2
R: all reals
D: all reals x y

6. Does the graph represent a function? Name the domain and range.x y
Yes
D: all reals
R: y ≥ -6 No
D: x = 2
R: all reals x y

7. Domain from an Equation
Most functions do not have restrictions on the domain and the domain is all real numbers.
There can be a restriction on the domain if the function is a radical or a fraction because:
-Square roots must be greater than or equal to zero.
-Denominators cannot equal zero.

8. Example:

9. Example:

10. Example:

11. Example:

12. Example:

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15. Example:

16. Example:

17. Assignment
Complete Domain of a Function WS #2 Quiz tomorrow