Which function is represented by the graph below?

Transcription

1 Read each question carefully. 1) Which function is represented by the graph below? 1

2 2) Algebra 1 Final Exam Review Part 2 (short) (Demo Version) Which function is represented by the graph below? 2

3 3) Which of the following describes the relationship between the number of songs on a CD and the number of minutes on the CD? There is no relationship between number of songs and the number of minutes on the CD. As the number of songs increases on a CD, the number of minutes on the CD increases. As the number of songs increases on a CD, the number of minutes on the CD decreases. As the number of songs increases on a CD, the number of minutes on the CD remains constant. 3

4 4) Which is the graph of the following function? 4

5 5) Which graph best represents the equation? y = x - 3 Graph A Graph B Graph C Graph D 5

6 6) Which equation best represents the graph? 6

7 7) Which situation is best represented by the graph? A $45,000 investment generated 1.2% interest for the last 10 years. A $15,000 investment generated 1.2% interest for the last 10 years. A $45,000 investment generated 12% interest for the last 10 years. A $15,000 investment generated 12% interest for the last 10 years. 8) Which of the following sentences is true about the graphs of y = 2(x 3) 2 6 and y = 2(x + 3) 2 + 6? The graphs have the same vertices but different shapes. Their vertices are maximums. Their vertices are minimums. One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum. 7

8 9) What is the domain and range of the function shown on the graph below? Domain: {all real numbers} Range: {y: y > -3} Domain: {all real numbers} Range: {y: y > -4} Domain: {x: x > -3} Range: {y: y > -4} Domain: {x: x > -4} Range: {y: y > -3} 10) Which best describes how the graph will be affected when the quadratic equation y = 5x is changed to y = 3x 2 + 1? The graph moves down 2. The graph becomes wider. The graph becomes narrower. The graph moves up 3. 8

9 11) What is the domain and range of the function shown on the graph below? Domain: all real numbers Range: all real numbers less than 1 Domain: all real numbers Range: all real numbers less than -3 Domain: all real numbers less than -3 Range: all real numbers Domain: all real numbers less than -3 Range: all real numbers less than -1 12) What are the slope, x-intercept, and y-intercept of the line represented by the equation? 3y = 6x + 9 slope = 6; x-intercept: (3, 0); y-intercept: (0, 3) slope = 6; x-intercept: (-3, 0); y-intercept: (0, 3) slope = 2; x-intercept: (-1.5, 0); y-intercept: (0, 3) slope = 2; x-intercept: (-1.5, 0); y-intercept: (0, 1.5) 9

10 13) Which of the following equations is graphed below? 14) Does the table represent y as a function of x? Yes, because for every x-value there is only one y-value. Yes, because for every y-value there is only one x-value. No, because there are two y-values for the same x-value. No, because there are two x-values for the same y-value. 10

11 15) Janice started a marathon 5 minutes after the starting gun went off and ran at a constant rate until the finish. Her split times are shown in the table below. Which equation represents the relationship between the number, n, of miles Janice ran and the time, t, in minutes that it took her to run them from the starting gun? 16) The population of bald eagles has increased linearly from 3,000 in 1990 to 6,500 in Which equation represents the population, p, of bald eagles t years after 1990? p = 3, ,500t p = 3, t p = 3, t p = 3, t 11

12 17) Which function is graphed below? 18) Which of the following describes the relationship between the number of miles a rental truck is driven and the cost? The cost is $32.50 for every 10 miles driven. The cost increases 5 dollars every 10 miles driven. The cost increases $25.00 for every mile driven. The cost increases $0.25 for every mile driven. 12

13 19) Which situation is best represented by the graph? 20) 120, 70, 45, 32.5 is a pattern derived from the following formula. What is the value of the 5th term in the sequence?

14 21) Golf Club A charges $50 for a membership fee and $10 per round. Golf Club B charges $25 for membership and $15 per round. It's less expensive to play at the first club. It's less expensive to play at the second club. If you play 5 rounds at either club, you will pay $100. If you play 6 rounds at either club, you will pay $ ) 200, 105, 57.5, is a pattern derived from the following formula. What is the value of the 5th term in the sequence?

15 23) Force is applied to a hanging spring measuring 20mm in length and the change in the length of the original spring is recorded. The table shows the results of this experiment. Which equation represents the length, s, of the spring with respect to the amount, f, of force applied? s = f s = f s = 20-3f s = 26-2f 24) Tracy babysits her younger siblings for $8.00 for the first hour and $4.00 for each remaining hour. She never babysits them for more than 6 hours. Tracy wrote the following equation to calculate the amount of money, y, she will receiver after babysitting for h hours. y = 8 + 4(h - 1) Which is a reasonable domain for the given situation? 1 < h < 8 8 < h < 28 4 < h < 8 1 < h < 6 15

16 25) down 2 and 7 to the left down 2 and 7 to the right up 2 and 7 to the left up 2 and 7 to the right 26) down 5 and 5 to the left down 5 and 5 to the right up 5 and 5 to the left up 5 and 5 to the right 16

17 27) up 3 and 3 to the left down 3 and 3 to the left up 3 and 3 to the right down 3 and 3 to the right 28) Does the graph represent y as a function of x? Yes, because for every x-value there is only one y-value. Yes, because for every y-value there is only one x-value. No, because there are two y-values for the same x-value. No, because there are two x-values for the same y-value. 17

18 29) A hot-air balloon rises at a constant rate. Its vertical height, h, after a given time, t, is shown in the table below. Which equation represents the relationship between time and the vertical height of the hot-air balloon? h = 20t h = 20t + 6 h = 20t - 10 h = 40t ) Diane took 15 shots to practice for her basketball game the first day. Each day she took 5 more shots than the previous day. She wrote a formula to see how many shots she would take over the next few days of practice. The formula is shown below. a1 = 15, an = an Which formula is equivalent to the one Diane wrote? an = 5n + 20 an = 5n + 10 an = 15n an = 15n

19 31) Which equation does the graph represent? y = -x + 1 y = x - 1 y = -x - 1 y = x ) What quantity should be added to both sides of this equation to complete the square? 19

20 33) What are the slope, x-intercept, and y-intercept of the line represented by the equation? x + 2y = 5 34) The following is the formula for finding the surface area of a sphere. Which equation shows the formula correctly solved for r? 20

21 35) Which relation is a function? 36) What is the equation of the line of symmetry for the function below? no line of symmetry x = 5 x = -3 x = 0 21

22 37) What are the x-intercepts of the graph of the following function? (-3.5, 0) and (0, -0.5) (-5, 0) and (1, 0) (14, 0) and (0, 16) (14, 0) and (16, 0) 38) What is the factored form of the following expression? 22

23 39) The number of members in the biking club was 540 in 2000 and has decreased by 6% each year. Which model shows the club's membership in terms of t, the number of years since 2000? 40) What is the factored form of the following expression? 23

24 41) Which of the following sentences is true about the graphs of y = 2(x + 4) and y = 2(x 4) 2 4? Their vertices are minimums. The graphs have the same shape with different vertices. The graphs have different shapes with different vertices. One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum. 24