Questions

Piecewise Functions

For the first two problems sketch the piecewise functions on paper. State the letter of the correct graph for the piecewise functions.

1) Solve. State the letter of the correct answer.

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2) Solve. The graph is scaled every five units on the vertical and every two units on the horizontal. State the letter of the correct answer.

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For the next three problems, analyze the following scenario as a piecewise function. Graph your results on paper and answer the questions associated with the problem.

3) Graph a piecewise function on your own to describe Bob’s training schedule for the next eighteen weeks. Your graph will show Bob’s distance on one axis and his weeks of training on the other. Find an equation of a line to describe each piece of Bob’s training goals and establish the domain for each of Bob’s training pieces. State the letter of the correct solution.

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4) How much distance will Bob need to add per week, after week ten, in order to reach his goal of running 12,000 meters per day, two weeks prior to the event? State the letter of the correct solution.

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5) Suppose Bob decides to push himself even harder and sets a goal of running 12,000 meters, three weeks prior to the event. How much distance will Bob need to add per week, after the first ten weeks, to reach this goal? State the letter of the correct solution.

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Step Functions

6) Solve. State the letter of the correct answer.

a.) 5

b.) 6

c.) 7

7) Solve. State the letter of the correct answer.

a.) 4

b.) 5

c.) 6

8) Solve the given problem and state the letter of the correct table.

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9) Graph the following situation as a Greatest Integer Piecewise Function on paper. What will be Jane’s business value when she has paid a TOTAL of $330.00 in tax fees? State the letter of the correct answer.

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