1. 2.2 Graphs of Equations

2. Symmetric to X – Axis

3. Symmetric to Y – Axis

4. Symmetric to Origin

5. Given a point, find points that are symmetric with respect to the x-axis, the y-axis, and the origin.

6. Testing An Equation for Symmetry
Replace y by – y in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the x-axis.
Replace x by – x in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the y-axis.
Replace x by – x and y by – y in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the origin.

7. Test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.

8. 3.1 Functions

9. A relation is a set of ordered pairs
A relation is a set of ordered pairs. Relation : {(–2, 6), (4, 2), (3, –4), (0, –2)} The domain is the set of all the first coordinates of the ordered pairs. Domain : {–2, 4, 3, 0} The range is the set of all the second coordinates of the ordered pairs. Range : {6, 2, –4, –2}

10. A function is a relation in which each element in the domain is paired with one and only one element in the range.

11. Domain of A Function

12. For each of the following relations, state the domain and range
For each of the following relations, state the domain and range. Also, indicate if the relation is a function.