Unit 1b Review: Piecewise Function 1. Graph the given piecewise function: 2. Graph the given piecewise function:

f(x) = 2𝑥 + 4,                            𝑥 <  −31,                            − 3   ≤ 𝑥 < 4−𝑥 + 2,                                  𝑥 ≥ 4

f(x) = 𝑥 + 3 ,                      𝑥 <  −1𝑥! + 1,                      𝑥 ≥  −1

3. Given the following piecewise function, evaluate each SHOWING ALL WORK:

f(x) = 3𝑥 + 2,                            𝑥 <  −65,                      − 6   ≤ 𝑥 < 10𝑥!,                                              𝑥 ≥ 10

a. f(0) = b. f(-6) = c. f(10) = 4. Use the following graph to answer the questions. a) Which types and how many of each functions are shown? b) On which type of function is f(-2)? Evaluate f(-2). c) On which type of function is f(2)? Evaluate f(2).

5. Create a piecewise equation given the following: a. b. c. d. e. Erin buys gas at a self service station for $2.75 a gallon. The gas station has a promotion going on that anyone who buys more than 10 gallons of gas only has to pay $2.50 per gallon. f. A supermarket has a discount on “family packs” of meat. Chicken costs $2.00/lb for packages over 5 lb. Smaller packages are $2.50/lb. g. A cell phone company charges $49.99 a month for up to 500 minutes. If you go over your allotted 500 minutes you must pay an extra fee of $.10 per minutes over 500.