Download ws piecewise functions

Worksheet Piecewise Functions
Honors Precalculus
Name:
Graph each of the following. Identify whether or not the graph is a function, and whether it is continuous.
Then, evaluate the graph at any specified domain value.
x  2

x  5
1.
f x    2

x  2x  3 x  2
Function? Yes or No
f 3 
f 4  
f 2  
2.

2x  1
f x    2

x  3
x 1
x 1
Function? Yes or No
f 2  
f 6  
f 1  
Write equations for the piecewise functions whose graphs are shown below. Assume that the units are 1 for
every tic marc.
7.
8.
9.
10.
11.
12. The rate of decay of a certain substance at temperature of
0°C and lower is f(x) = x2 + 4x. At temperatures above 0°C the
rate of decay is modeled by f(x) = -x2 + 4x + 2. Model the rate
of decay with a piecewise function and graph.