1. 4.3 Symmetry Which graph is NOT a function?
Re-write the graph as two separate functions.
Now match each graph with its description.
Absolute Value
Cubic
Square Root
Parabola
Constant
Linear

2. Reflection over x-axis
Reflection over y-axis

3. Reflection over line y = x

4. Symmetry

5. Checking for Symmetry: algebraically then graphically

6. Checking for Symmetry: algebraically then graphically
Checking for Symmetry: algebraically only

7. Completing the Graph Symmetric with respect to the origin
Symmetric with respect to the y-axis
Symmetric with respect to the origin
Symmetric with respect to the origin
Symmetric with respect to the x-axis

8. Point of Symmetry Homework
All “odd” functions have a point of symmetry: where it is possible to pair the points of the graph in such a way that the point of symmetry is the midpoint of the segment joining each pair.
Homework
Pages 136–138 #1, 47, 9, 12, 14, 15 (a, b), 21a, 23a, 31 (a, b, c), 35, 36

9. Absolute Value
Unchanged when f(x) ≥ 0 and reflected in the x-axis when f(x) < 0.