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. Graphy = -3Constant FunctionExample 6-2a

2. Range =Graph y = | x |Absolute Value FunctionDomain = all real numbersExample 6-3b

3. Range =Graph y = | x | + 2Domain = all real numbers2Example 6-3b

4. Range =Graph y = | x – 1 | Domain = all real numbers0Example 6-3b

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

6. Graph y = x – 1 y = – 1 Piecewise FunctionDomain:all real numbersRange:Example 6-4a

7. C(x)x85170255Step Function340D = real numbersR = {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= -23.7-1.3= -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 functionExample 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 functionAnswer: absolute valuefunctionExample 6-5c