1. No category

unit 5 lesson 4 notes.notebook
Warm Up
April 07, 2015
I. Piecewise
1. Your favorite dog groomer charges according to your dog’s weight. If your dog is
1. Given f(x) = 3[x ­ 4] ­ 7, what is the starting point, step length and step height? Graph f(x).
15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds,
she charges $40. If your dog is 40 pounds or more, she charges $1.50 per pound.
a. Write a piecewise function that describes what your dog groomer charges.
35 , x < 15
2. Given f(x) = | x ­ 5 | ­ 2, what is the vertex? What are the zeros? Graph f(x).
40 , 15 < x < 40
1.50x , x > 40
Apr 5­5:31 PM
Apr 5­5:33 PM
2. You plan to sell Cary Imp t-shirts as a fundraiser. The wholesale t-shirt company charges you $10 a shirt for the first 75 shirts. After the first 75 shirts
you purchase up to 150 shirts, the company will lower its price to $7.50 per shirt. After you purchase 150 shirts, the price will decrease to $5 per shirt. a. Write a function that models this situation.
10x , x < 75
7.50x , 75 < x < 150
b. What will your total bill be if you order 135 shirts?
7.50 (135)
5x , x > 150
$1012.50
1.50(60) = $90
Apr 5­5:35 PM
Apr 5­5:35 PM
II. Absolute Value
1. A musical group’s new single is released. Weekly sales s (in thousands) increase
steadily for a while and then decrease as modeled by the functio
2. You are sitting in a boat on a lake. You can get a sunburn from sunlight that hits you directly and from sunlight that reflects off the water.
Sunlight reflects off the water at the point (2,0) and hits you at the point (3.5, 3). Write and graph the function that shows the path of the sunlight.
where t is the time (in weeks).
a.
Graph the function
vertex (20, 40)
20 weeks
b.
Use the graph to determine the maximum weekly sales.
sales $40,000
Apr 5­5:36 PM
Apr 5­5:37 PM
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unit 5 lesson 4 notes.notebook
April 07, 2015
III. Greatest Integer
1. The table below represents the cost of mailing a package at the Post Office. Use the table to graph and write a function that represents
the cost of mailing a package based on its weight.
Price
Weighs Less Than
(ounces)
($)
1
1.22
2
1.39
3
1.56
4
1.73
5
1.90
6
2.07
7
2.24
8
2.41
9
2.58
10
2.75
11
2.92
12
3.09
2. A computer repair technician charges $40 per hour for labor. She charges her labor in
increments of 30 minutes. For example, if she works 24 minutes, she charges for 1/2 an
hour and if she works for 48 minutes, she charges for 1 hour. Write and graph a greatest
integer function to model the rates of the computer repair technician.
Apr 5­5:38 PM
Apr 5­5:40 PM
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