Name ______Date ______Period ______
WORKSHEET – MORE PIECEWISE FUNCTIONS
Rewrite each function as a piecewise function and graph.
1. 2.
3. 4.
5. 6.
7. Michael traveled from Point A to Point B last Saturday. He drove at a steady speed reaching Point X (20 miles) in 20 minutes. He stopped at CC’s Pizza for lunch for 20 minutes. He resumed his journey after lunch and reached Point Y (60 miles farther along) 50 minutes later. The traffic on Hwy Z was a nightmare and it took 30 minutes to go 10 miles. The traffic finally cleared and he drove the last 10 miles in 10 minutes. Draw a graph showing his distance from Point A (in miles) as a function of time.
8. Consider each of the following situations and write as a transformation of f(x).
a) Michael begins his trip 15 minutes later.
b) Michael takes twice as long for every part of the trip because he was looking at the bluebonnets.
c) Michael goes half as far on each part of the trip, but takes the same length of time.
d) Michael starts out 30 minutes earlier, but drives twice as far on each part of the trip.
9. Match each story to one of the graphs a – e, where d represents the distance from home and t is time in hours since the start of the bike ride. Graphs may be used more than once.
______ Starts 5 miles from home and rides 5 miles per hour away from home.
______ Starts 5 miles from home and rides 10 miles per hour away from home.
______ Starts 10 miles from home and arrives home one hour later.
______ Starts 10 miles from home and is halfway home after one hour.
______ Starts 5 miles from home and is 10 miles from home after one hour.
10. a) Graph f(x).
b) Domain: ______c) Range: ______
d) x-intercept(s): ______
e) f(-8) = ______
f) f(1) = ______/ g) Where is f(x) = 4? ______
The intervals over which it is
h) Increasing: ______
i) Decreasing: ______
j) Constant: ______
11. Write the function.
f(x) =