(C) domain: all positive integers range: all positive integers (D) domain: all integers, where 0 10 S ≤ ≤ range: all integers, where 0 3 L ≤ ≤ 16. (3.3-4, 3.2) To fix a clogged pipe, Dripmaster Plumbing charges $75 plus $40 per hour. NoClog Plumbers charges $50 plus $70 per hour for the same service. Which function shows the difference in charges between the two companies for a repair taking hours? h (A) difference = $20 $35h – (B) difference = $25 $30h – (C) difference = $25 $110h – 17. (3.3-5) Steve borrows $4,800 from his parents to purchase a used car. No interest is charged on the loan and Steve will pay his parents $150 per month until the loan is paid off. (a) Write a function that describes the relationship between the amount Steve owes his parents and the number of months since the loan was made. (b) What are the domain and range of the function in part (a)? What do these represent in context of the situation? (c) Graph the function in part (a), identify important points, and explain why they are important. 18. (3.3-6, 3.1) Explain why the relation = is a function even though = and = 2 both y x2 x x –2 produce = 4. y 19. (3.6-1, 3.4) The first five terms of a sequence are given. 14 17 20 23 26 Which equation describes the term of the sequence? nth (A) (B) (C)
(C) domain: all positive integers range: all positive integers (D) domain: all integers, where 0 ≤ S ≤ 10 range: all integers, where 0 ≤ L ≤ 3 16. (3.3-4, 3.2) To fix a clogged pipe, Dripmaster Plumbing charges $75 plus $40 per hour. NoClog Plumbers charges $50 plus $70 per hour for the same service. Which function shows the difference in charges between the two companies for a repair taking h hours? (A) difference = $20 – $35h (B) difference = $25 – $30h (C) difference = $25 – $110h 17. (3.3-5) Steve borrows $4,800 from his parents to purchase a used car. No interest is charged on the loan and Steve will pay his parents $150 per month until the loan is paid off. (a) Write a function that describes the relationship between the amount Steve owes his parents and the number of months since the loan was made. (b) What are the domain and range of the function in part (a)? What do these represent in context of the situation? (c) Graph the function in part (a), identify important points, and explain why they are important. 18. (3.3-6, 3.1) Explain why the relation y = x2 is a function even though x = –2 and x = 2 both produce y = 4. 19. (3.6-1, 3.4) The first five terms of a sequence are given. 14 17 20 23 26 Which equation describes the nth term of the sequence? (A) (B) (C)
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