1. MATH 110 Review

2. Jeopardy FunctionsStraight as an arrow Word Problems Pieces 100 200 300 400 500

3. Final Jeopardy? Final Exam: Monday May 9 th, 2005 8:00am to 10:00am Room PAS 201 Get to the exam no later than 7:45am

4. Functions 100 Which of the tables express y as a function of x? Answer: 1 st and 4 th x2-2024 y54321 x12145 y03 19 x12-346 y3135

5. Functions 200 Find the domain of the function given below: Answer: [0,3)

6. Functions 300 The graphs of f(x) and g(x) are shown. Find the domain and range of each function Answer: f(x) D: [-3,infinity) R: [-4,infinity) g(x) D: [-5,5] R: [-3,3] f(x)g(x)

7. Functions 400 Which of the functions shown has a domain of all real numbers except 18? Answer: g(x)

8. Functions 500 A 24 inch wire is cut into 4 pieces to form a rectangle whose shortest side has a length of x. Express the area of this rectangle as a function of x. What is the domain of this function? Answer:

9. Straight as an Arrow 100 Suppose that the quantity sold, q, of a particular product can be expressed as a linear function of the product’s price, p, by the linear function q(p) = -50p + 2000. Determine the slope of the graph of q(p) and interpret the slope in practical terms. Answer: slope is -50; this means that the amount sold decreases by 50 when the product’s price increase by $1.00.

10. Straight as an arrow 200 Find the coordinates of the x and y intercepts of 3x + 7y -1 =0. Answer: x-int (1/3,0) ; y-int (0, 1/7)

11. Straight as an arrow 300 A small electrical co-op in rural Arizona charges its customers a $5.00 basic monthly fee plus $0.12 per kilowatt hour used. Write a function to represent the monthly charge in dollars on an electric bill in terms of the number of kilowatt hours used. Answer: f(x) = 0.12x+5.00

12. Straight as an arrow 400 Determine whether the following table is a linear function. If it is find the equation of the line. Answer: yes constant rate of change; equation y = 2.1x +0.9

13. Straight as an arrow 500 Find the equation of the line perpendicular to 2x – y = 3 which passes through the point (1,3). Answer: y = -0.5(x-1)+3

14. Word Problems 100 A couple invests $3500 to build a rose garden. On average, it costs them $0.35 to grow each rose. If each rose can be sold for $1.75, how many roses must be sold to break even? Answer: 2500 roses

15. Word Problems 200 A shop owner wants to mix high quality coffee beans that cost $5.00 per pound with cheap, crummy tasting beans that cost $1.00 per pound to get 20 pounds of a blend which should be worth $3.50 per pound. How much of the cheap blend should be used? Answer: 7.5 pounds

16. Word Problems 300 You invest $1000 in two accounts. The first pays 6% annual interest, the other pays 9% annual interest. At the end of one year you collect $84.60 in interest. How much was invested in each account? Answer: $180 in the 6% account and $820 in the 9% account.

17. Word Problems 400 A train that is traveling 52 mph leaves the station and goes west. Another train leaves the station on a parallel track 1 hour later traveling west at 65 mph. How long until the fast train catches up with the slow train? Answer: 5 hours

18. Word Problems 500 A rancher wishes to enclose two adjacent rectangular corrals such that the right-hand corral has twice the length of the left hand (see diagram). She has 900 feet of fencing. Express the area of the enclosure as function of the length.Answer:

19. Pieces 100 Which of the following represents the piece- wise function shown below? Answer: c

20. Pieces 200 Sketch the graph of the piece-wise defined function shown below:

21. Pieces 300 Find g(0) for the function given below: Answer: -2

22. Pieces 400 Write the piece-wise function for the graph shown: Answer:

23. Pieces 500 The following table gives the Tax Rate Schedule for a person whose filing status was single during the year 2003. Determine a formula for the tax a person would pay with an adjusted gross income that is between $28,400 and $68,800 Answer: 3910+0.25(x-28400)