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Name:________________________ Class:____________________ Date:_________________ Chapter 1 Review Determine the independent and dependent quantities in each scenario. 1. Selena is driving to visit her grandmother who lives 325 miles away from Selena’s home. She travels an average of 60 miles per hour. 2. Gavin works for a skydiving company. Customers pay $200 per jump to skydive in tandem skydives with Gavin. 3. Clarice wants to make strawberry jam to give to her relatives. She has strawberry beds in her backyard where she can pick strawberries. She wants to make sure that she picks enough strawberries so that she can make the amount of jam that she needs. 4. Sophia buys a mocha frappucino every morning before class. Each cup costs $3.25. Sophia has to make sure that she stays within budget and doesn’t exceed her monthly allowance. Determine a) which function family each function belongs to (linear, constant, linear piecewise, linear absolute value, quadratic, exponential) AND b) whether the function has an absolute maximum, an absolute minimum or neither. 5. 6. 7. 8. 9. Determine whether each function is increasing, decreasing, or constant. 10. Determine if the following graphs are functions. Explain why or why not. Name:________________________ Class:____________________ Date:_________________ 11. Create an equation and sketch a graph that: • is a smooth curve, • is increasing across the entire domain, • is continuous, and • is exponential. 12. Create an equation and sketch a graph that: • has a maximum, • is continuous, and • is a linear absolute value function. 13. Sketch a graph of the following situations. Be sure to clearly label your axis. a. Hector is training to participate in competitive trampoline. In his best jump, he can reach a maximum height of about 9 meters and can spend about 2 seconds in the air performing tricks. Independent variable: Dependent variable: b. Natasha is filling the bathtub with water in order to give her dog Buster a bath. The faucet fills the tub at an average rate of 12 gallons per minute. Independent variable: Dependent variable: