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This review assignment explores various mathematical functions and concepts, including finding domains and ranges given specific conditions, calculating slopes and y-intercepts, and applying these concepts to real-life scenarios. Example problems include determining the domain when the range is specified, interpreting slope and y-intercept from tables and points, and analyzing financial situations involving saving money and fees. This comprehensive assignment reinforces the understanding of linear functions and their applications.
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1. Given f(x) = 3x +1, find the domain when the range is -14.
2. Given f(x) = 2x - 9, find the range when the domain is 3.
3. Given f(x) = -x +5, find the domain when the range is -5.
4. What is the slope and y intercept of the following table.
5. What is the slope and y intercept of the following points. (0,5) and (4, 25)
6. What is the slope and y intercept of the following table.
7. A local basketball court charges a registration fee of $10 and then $15 an hour for renting 2 courts.A. Write the equationb. Identify the slope and what it meansc. Identify the y intercept and what it means.
8. An electronics store charge a base fee of $50 and then $65 a month for renting a 60” TV.A. Write the equationb. Identify the slope and what it meansc. Identify the y intercept and what it means.
9. A local basketball court charges a registration fee of $10 and then $15 an hour for renting 2 courts.A. Write the equationb. Identify the slope and what it meansc. Identify the y intercept and what it means.
10. Chelsea owes her sister $50 and plans to save $23 a month. Her situation is represented at y=23x-50. If Chelsea only saved $15 a month, how would it affect how long it would take to save money?
11. David owes his school $450 for books. He plans to save $45 a month, represented as y=40x-450. If David saved $60 a month, how would it affect his time for saving?
12. Haleigh owes her mom $40 and plans to save $6 a week to pay her back. This situation is represented as y=6x-40. If Haleigh saved $3 a week, how would it affect her time in paying her mom back?