Write a Function Rule That Represents Each Sentence

Name Class Date

Chapter 4 Quiz 2 Form G

Lessons 4-4 through 4-7

Do you know HOW?

Write a function rule that represents each sentence.

1. 7 less than three times m is n.

2. 14 more than the quotient of a number t and 10 is u.

3. 5 times the difference of a number p and 3 is q.

Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function. 4. {(3, 1), (5, 7), (8, 9), (10, 12)} 5. {(3, 2.1), (4, 3.1), (5, 4.1), (6, 5.1)}

6. {(–8, 4), (–10, 5), (–11, 6), (–12, 7)} 7. {(4.6, 2.8), (5, 2.2), (5.2, 2), (5.6, 1.8)}

Find the range of each function for the given domain.

8. f (x) = 2x + 2; {–1, 0, 1, 2, 3} 9. f (x) = x2 + 5; {–3, –1, 0, 2, 4}

10. f (x) = –6x + 5; {–1, 0, 1, 2, 3} 11. f (x) = x2 – 4; {–2, –1, 0, 3, 4}

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a function rule to represent it. 12. 5, 10, 15, 20, … 13. 200, 100, 50, 25, 12.5, … 14. –8.1, –5.8, –3.5, –1.2, …

15. Write a function rule for the area of a rectangle whose length is 10 ft more than its width. What is the area of the rectangle when its width is 12 ft?

Do you UNDERSTAND?

16. Open-Ended Write an explicit formula for an arithmetic sequence that is decreasing. Write a function rule to represent the arithmetic sequence.

17. Writing Describe how to use the vertical line test to determine whether a graph is a function.