CC Algebra 2H
Worksheet 6-3X
HW#_____
Name_________________________________
Date__________________ Per_____Col_____
9  5 x
2

1. Given the piecewise function h x    3
x  x
3  x 2

if x  0.1
if  0.1  x  2
if 2  x  6
.
if x  6
a. Find h( -0.4).
b. Find h(6).
2. Given f x   [[ 3x ]]  2 .
a. Find f(2.6).
b. Find f( -3.1).
Graph each piecewise function.
 x  12 if x  1
3. g  x   
if x  1
 x  1
 3 x  8 if x   3

4. f x     2 x
if  3  x  1
 2
 x  3 if x  1
5. Write a piecewise function for the lunch buffet price
P(x) as a function of age x, in years.
6. Write a piecewise function for the graph shown.
6. A pet groomer charges different prices based on
the dog’s weight.
Graph the data. Be sure to label the axes.
7. The cost of renting a canoe is $20 per hour for the first 4 hours and $3 per hour for additional
hours.
a. Write a piecewise function for the cost C(h) of renting a canoe for 0 to 8 hours.
b. Graph the function. Be sure to label axes.
c. Find the cost of renting a canoe for 7 hours.