1. 2-5 Absolute Value Functions and Graphs

3. Vertex Maximum or minimum of the graph
For the equation, the vertex is at

4. Identify the vertex for each function
1. f(x) = | 2x – 5 |
2. f(x) = | 3x + 6 |
3. f(x) = - |x + 1 | - 2

5. Graphing absolute value functions by making a table
Find the vertex
Make a table of values (at least 5!)
Graph the function.

6. Find several ordered pairs for each function.
Graph and on the same coordinate plane. Determine the similarities and differences in the two graphs.
Find several ordered pairs for each function. x
| x – 3 | 3 1 2 4 5 x
| x + 2 | –4 2 –3 1 –2 –1 3
Example 6-3a

7. Graph the points and connect them.
Answer:
The domain of both graphs is all real numbers.
The range of both graphs is
The graphs have the same shape, but different x-intercepts.
The graph of g (x) is the graph of f (x) translated left 5 units.
Example 6-3b

8. Graph
y = | x – 3 | + 3 X Y

9. Graph
y = | 2x + 1 | X Y

10. X Y The recommended dietary allowance
for vitamin C is 2 micrograms per day.
Write an absolute value function for the difference
Between the number of micrograms of Vit C you ate
today x and the recommended amount. X Y

11. Graph X Y

12. Graph
y = | -x – 5 | X Y

13. Graph
y = | -3x | X Y