1. Warm Up Graph f(x) = 2x + 3 Graph f(x) = -3x + 1
Do the following problems in pencil on the same graph.
Warm Up
Graph f(x) = 2x + 3
Erase your graph for x less than -1
Graph f(x) = -3x + 1
Erase your graph for x greater than -1

2. f(x) = 2x + 3
f(x) = -3x + 1

3. 2.7 Piecewise Functions A combination of equations, each
corresponding to a part of the domain.

4. Graph the function.
1.) f(x) = {

5. { Graph the function. 1.b) f(x) = Find f(5) Find f(– 1) Find f(– 10)

6. { Evaluate the function. 2.) f(x) = Find f(– 20) Find f(– 1.5)

7. Graph the function.
3.) f(x) = {

8. Write the equations for the piecewise functions.

9. Write the equations for the piecewise functions.

10. Step Functions
A graph that resembles a set of stair steps.
Greatest Integer Function g(x) =
where for every real number, x, g(x) is the
greatest integer less than or equal to x.
“Round down”

11. Evaluate.
1.) If f(x) = , find f(-1.2), f(0), f(2/3), f(1.6)
2.) If g(x) = , find g(-2.4), g(0), g(3.7),
g(4.2)

12. Graph.
3.)

13. Graph.
4.)

14. Graph.
5.)

15. A parking garage charges $12 an hour for the first 4 hours that a car is parking in the lot. After that, the garage charges an additional $8/hr Graph the step function.

16. H.W. pg #117
13-20 all
21,23,25
Greatest integer function explanation on the TI83 calculator