1. Section 7.2 Absolute Value Functions
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2. I) Review
Line Equation: x y -4 -3 -2 -1 1 2 3 4 5 6 7 -5

3. Graphing Absolute Value Functions
When graphing the absolute value of a function, any point with a negative y-coordinate will be positive
If the point already had a positive y-coordinate, it will stay positive
Only the Y-coordinate changes, the x-coordinate stays the same
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4. III) Graphs of Absolute Value Functions
The ABS function will reflect any part of the function under the x-axis to above the x-axis
The ABS of a straight line is a V-shape x y -4 -3 -2 -1 1 2 3 4 5 6 7 -5
The center of the graph is at the x-intercept
The x-intercept is an “Invariant Point” a point that is not changed
There are two sides: Left & Right
Since the right side was reflected place the negative sign to the right piece wise function

5. Graph the function and: i) Determine the “x” and “y” intercepts ii) State the domain and range iii) State the piece-wise function x y -4 -3 -2 -1 1 2 3 4 5 6 7 -5
X-intercept:
Y-intercept:
Domain:
Range:

6. Ex: Given the following parabola, graph the Absolute Value of this function:y -5 5
Take any part of the graph below
the X-axis and vertically reflect it
Note: Any number outside of the absolute value sign will be performed afterwards
First take the abs of the parabola
First shift the graph 4 units down
Then shift the graph 4 units down
Then take the abs of the parabola
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7. Practice: Given the following graphs, draw the Absolute Value of each function:x y -5 5 x y -5 5
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8. Practice: Graph the following functions and then state the: i) X and Y intercepts ii) Domain and Range iii) Piece Wise Function

9. Graph Change the equation vertex form so it’s easier to graph Domain:
Range: x y -4 -2 2 4 6 8 10 -6
X: Intercept:
Y: Intercept:

10. Graph: X: Intercept: Y: Intercept: Domain: Range: x y -6 -4 -2 2 4 62 4 6 -5 5
X: Intercept:
Y: Intercept:
Domain:
Range:

11. Graph: X: Intercept: Y: Intercept: Domain: Range: x y -4 -2 2 4 6 8 102 4 6 8 10 -6
X: Intercept:
Y: Intercept:
Domain:
Range:

12. HW: Assignment 7.2

13. x y -4 -3 -2 -1 1 2 3 4 5 6 7 -5

14. x y -4 -3 -2 -1 1 2 3 4 5 6 7 -5