Piecewise Functions Project

Name: _________________________________

TASK #1

ChoiceA-f(x)axhkChoiceB-f(x)axh2k

ChoiceC-f(x)ax3bx2cxdChoiceD-f(x)a xhk

ChoiceE-f(x)ak xh

Requirements:

*ashould never equal 0

*handkcan't both be 0

*b, c,anddcan't all be 0 *Can't duplicateany values

TASK #2

1. 1)Select 4 of the 5 graph choices to the left.
2. 2)Fill in values/numbers for the generic equations, replacing variables
3. a, h,andkora, b, c, anddas necessary, to create actual equations that can be graphed. You may use your calculator to help. Write this equation at the top of the graph page you use.Recommendation- use small #s(keep between -5 and 5)
4. 3)Graph each of the 4 chosen graphs A - E, one on each of the graphs provided, #1 - 4. You may use your calculator to help.Requirements:
5. *Be sure that part of the graph drawn on its selected graph paper is actually located in the shaded region on the graph you choose. If not, select a different graph paper #1-4 or select different values/numbers for your equation. You may graph any of the equation choices on any of the graph papers.
6. *You must graph the entire function on the given graph paper for
7. the domain15, 15if the range is also between15, 15. A
8. domain interval of at least 15 units wide must be present on the
9. graph.
10. 4)Answer the questions below Graphs #1-4 in the spaces provided.

1) Take each shaded region (covering a domain interval of 5 units) of graphs 1-4 and graph ONLY that region from that graph onto Graph #5. (You should have a funky looking graph.)Be careful on the endpoints of your graph segment that you either graph a closed dot if including that value or an open dot if you are not including that value-see the domain intervals listed on the bottom of Graph #5 for help!

2) Fill in the information and answer the questions following the graph.

RUBRIC (Turn one copy in with your project):

Graph #1: Graph #2 Graph #3 Graph #4 Graph #5Comments:

Equation: ____/1 Equation: ____/1 Equation: ____/1 Equation: ____/1 Equations: ____/4

Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/6

Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/10 = /20

TOTAL______/100

Graph Choice #1

Equation: ____________________

Parent Function: Name-

(use interval notation below)

Domain:

Equation- Find f(3) =

Increasing:

Range:

Is your graph Continuous? ___________

Decreasing:

Graph Choice #2

Equation: ____________________

Parent Function: Name-

(use interval notation below)

Domain:

Equation- Find f(6) =

Increasing:

Range:

Is your graph Continuous? ___________

Decreasing:

Graph Choice #3

Equation: ____________________

Parent Function: Name-

(use interval notation below)

Domain:

Equation- Find f(-6) =

Increasing:

Range:

Is your graph Continuous? ___________

Decreasing:

Graph Choice #4

Equation: ____________________

Parent Function: Name-

(use interval notation below)

Domain:

Equation- Find f(-3) =

Increasing:

Range:

Is your graph Continuous? ___________

Decreasing:

Graph #5

Fill in the blank with the equation for each interval of 5 units listed beside it. Then, answer the questions.

f(x)

10x 55x0

0x5 5x10

(Graph1) (Graph2)

(Graph3) (Graph4)

IsyourgraphContinuous?

1.f(10)2.f(7)3.f(5)

4.f(3)5.f(0)6.f(2)

7.f(5)8.f(7)9.f(10)