Do Now

1. Do Now • Find the equation of a line through the points (7, -2) and (3, -1).

2. Do Now: • Find the equation of a line through the points (7, -2) and (3, -1). • y = - ¼ x – ¼

3. 2-6: Special Functions • Direct Variation: A linear function in the form y = kx, where k 0 • Constant: A linear function in the form y = b • Identity: A linear function in the form y = x • Absolute Value: A function in the form y = |mx + b| + c (m 0) • Greatest Integer: A function in the form y = [x]

4. y 6 4 y=2x 2 –6 –4 –2 2 4 6 x –2 –4 –6 Direct Variation Function: A linear function in the form y = kx, where k 0.

5. y = 3 Constant Function: A linear function in the form y = b.

6. y=x Identity Function: A linear function in the form y = x.

7. y=|x - 2|-1 Absolute Value Function: A function in the form y = a|x - b| + c (m 0) Example #1 The vertex, or minimum point, is (2, -1).

8. y = -|x + 1| Absolute Value Function: A function of the form y = A|x - B| + C (m 0) Example #2 The vertex, or maximum point, is (-1, 0).

9. Absolute Value Functions Graph y = |x| - 3 The vertex, or minimum point, is (0, -3).

10. y 6 4 2 y=[x] –6 –4 –2 2 4 6 x –2 –4 –6 Greatest Integer Function: A function in the form y = [x] Note: [x] means the greatest integer less than or equal to x. For example, the largest integer less than or equal to -3.5 is -4.

11. y 6 4 2 –6 –4 –2 2 4 6 x –2 –4 –6 Greatest Integer Function: A function in the form y = [x] Graph y= [x] + 2