Piecewise Functions ProjectGroup Members: ______
DUE Thursday, March 13 (A Day)
Friday, March 14 (B Day) ______
TASK #1
Choice A -
Choice B -
Choice C -
Choice D -
Choice E -
Requirements:
*a should never equal 0
*h and k can’t both be 0
*b, c, and d can’t all be 0
*Can’t duplicate any values
1)Select 4 of the 5 graph choices to the left.
2)Fill in values/numbers for the generic equations, replacing variables a, h, and k or a, b, c, and das 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)
3)Graph each of the 4 chosen graphs A - E, one on each of thegraphs provided, #1 - 4. You may use your calculator to help.
Requirements:
*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.
*You must graph the entire function on the given graph paper for the domain if the range is also between. A domain interval of at least 15 units wide must be present on the graph.
4)Answer the questions below Graphs #1-4 in the spaces provided.
TASK #2
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: Equation: ____/1Graph: _____/8Questions: _____/11=/20
Graph #2Equation: ____/1Graph: _____/8Questions: _____/11=/20
Graph #3Equation: ____/1Graph: _____/8Questions: _____/11=/20
Graph #4Equation: ____/1Graph: _____/8Questions: _____/11=/20
Graph #5Equations: ____/4Graph: _____/6Questions: _____/10 =/20
Comments:
TOTAL______/100
Graph Choice #1 Equation: ______
Parent Function: Name- Equation-Find f(3) =
(use interval notation below)
Domain: Increasing:
Range:Decreasing:
Is your graph Continuous? ______
Graph Choice #2 Equation: ______
Parent Function: Name- Equation-Find f(6) =
(use interval notation below)
Domain: Increasing:
Range:Decreasing:
Is your graph Continuous? ______
Graph Choice #3 Equation: ______
Parent Function: Name- Equation-Find f(-6) =
(use interval notation below)
Domain: Increasing:
Range:Decreasing:
Is your graph Continuous? ______
Graph Choice #4 Equation: ______
Parent Function: Name- Equation-Find f(-3) =
(use interval notation below)
Domain: Increasing:
Range:Decreasing:
Is your graph Continuous? ______
Graph #5
Fill in the blank with the equation for each interval of 5 units listed beside it. Then, answer the questions.
Is your graph Continuous?