The document contains examples of different types of functions graphed: constant functions with the equation y=-3; absolute value functions with equations y=|x|, y=|x|+2, and y=|x-1|; a piecewise function with equations y=x-1 and y=-1; and a step function with inputs of x and outputs of 85, 170, 255, and 340. It also discusses determining the type of function a given graph represents, and provides examples of graphs representing constant, absolute value, and piecewise functions.

1. Graph y = -3 Constant Function Example 6-2a

5. y = | x | y = | x | + 2 y = | x - 1| Shift 2 units up Shift 1 unit right

6. Graph y = x – 1 y = – 1 Piecewise Function Domain: all real numbers Range: Example 6-4a

7. C(x) x 85 170 255 Step Function 340 D = real numbers R = {85, 170, 255, 340} Example 6-1c

8. The Greatest Integer Function is an example of a step function. [ [ [ [ [ [ [ [ [ [ [ [ | | | | | | | | | -4 -3 -2 -1 0 1 2 3 4 = 3 = -2 3.7 -1.3 = -4 -4

9. | | | | | | | | | -4 -3 -2 -1 0 1 2 3 4

10. Determine whether the graph represents a step function, a constant function, an absolute value function, or a piecewise function. piecewise function Example 6-5a

11. Determine whether the graph represents a step function, a constant function, an absolute value function, or a piecewise function. absolute value function. Example 6-5b

12. Determine whether each graph represents a step function, a constant function, an absolute value function, or a piecewise function. a. b. Answer: constant function Answer: absolute valuefunction Example 6-5c