Name: ________________________________ Review Day #5Do Now: Complete #1 & #2

1. Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the grounds. The height, y, in feet, of the apple is a function of time, x, in seconds, as shown in the table below.

Which statement best explains the meaning of the y-intercept for this function?A. The apple is originally 8 ft above the ground.B. The apple reaches a maximum height of 8 ft.C. The apple takes 8 seconds to reach the

gorund.D. The apple reaches its maximum height after 8

seconds.

2. Jimmy is on the diving team at his school. The quadratic function graphed on the coordinate plane below represents one of Jimmy’s dives, where x represents the horizontal distance, in feet, that he is from the diving board and y represents his height, in feet, above water level.

Explain what the x-intercept means in terms of the context.

3. Which of the following graphs shows a function that is increasing on the interval 2<x<3? Select all that apply.

4. A baseball is thrown upwards from an elevation of 64 feet. The ball reaches a maximum elevation of 100 ft. after one-and-a-half seconds and lands on the ground(elevation of 0 ft) after four seconds. A quadratic function models this situation. On the grid below, sketch a graph of this function.

5. A function is shown on the coordinate plane below.

Over which interval(s) is the function increasing? Select all that apply.

6. Consider the function f ( x )=−2(x−3)(x+6). Select the x-intercept(s) of the graph of the function. Select all that apply.

7. The graph below shows a relationship between x and y.

Which of the following statements about the graph is/are true? Select all that apply.

8. The graph below shows a relationship between x and y. Which of the following points corresponds to an x-intercept of the graph? Select all that apply.

9. Which of the following graphs is symmetric in respect to the y-axis? Select all that apply.

10. The domain of a function is the set of all negative numbers. Which quadrant could the function be located in? Select all that apply.A. Quadrant IB. Quadrant IIC. Quadrant IIID. Quadrant IV

11. Excel Elementary has a student teacher ratio of 24:1. This is shown in the function f ( x )=24 x, where x is the number of teachers and f (x) is the number of students. Which of the following numbers could be part of the domain of this function? Select all that apply.

12. A function is shown in the graph below.

Which of the following intervals is/are part of the domain of the function? Select all that apply.

13. A function is shown in the graph below

Which of the following numbers is/are part of the domain of the function? Select all that apply.

14. A set of ordered pairs is shown in the graph below.

Which number(s) is/are part of the domain of the function shown above? Select all that apply

15. Which of the following graphs shows a function with domain 2≤x<5? Select all that apply

16. Which of the following graphs shows a function with a domain of {2, 3, 4, 6, 8}? Select all that apply

17. Which of the following graphs shows a function where the domain is on the interval [1,∞ ¿? Select all that apply?

18. What is the domain of the function in the graph below?

19. What is the range of the function graphed below. 20. Determine the range of the function graphed below.

21. A tennis ball is tossed into the air. The height , h(t), in feet, of the tennis ball is a function in seconds, as shown in the table below.

Which statement provides a correct interpretation of the average rater of change of this function from t=1.5 and t=3?

22. Jessica is hiring a plumber to remodel her bathroom. She knows that this job will take a long the complete, so she wants to find a plumber that costs less than $50 per hour (not including the fee to come to her house). A number of plumbers submitted the cost of their most recent job. Which of the following plumbers cost(s) less than $50 an hour? Select all that apply.

23. Six different lines are shown below. Which of the lines has a rate of change that is negative? Select all that apply.

24. RLN Manufacturing has fixed costs and variable costs to produce handmade wooden chairs that they sell. The company models these costs with the equation f ( x )=24 x+48, where x represents the amount of chairs produced. Which of the following statement(s) is/are correct?

25. Which of the following linear functions has/have a rate of change that is greater than 14? Select all that apply.

D.Jay drove 64 miles in 4 hours.E. Anne painted 2 hourses in 16 hours.F. Fahim received a signing Bonus of $1000 and then made $10 per hour.

26. For which of the following intervals is the average rate of change of the function shown below equal to -1? Select all that apply?

27. For which of the following function graphs is the average rate of change from x=1 to x=3 equal to-2? Select all that apply.

28. For which of the following function graphs is the average rate of change from x=1 to x=4 equal to 2? Select all that apply.

29. For which of the following function graphs is the average rate of change from x=1 to x=4 equal to 3? Select all that apply.

30. The value of a rookie baseball card has increased exponentially, as shown in the graph below.

Based on the graph, estimate to the nearest thousand the average rate of change in value of the baseball card for the following time intervals:

From 10 to 30 years

From 15 to 50 years.Answers

1 A 2 When he hits the water his horizontal distance from the diving board is 8 feet

3 B, E 4 Check with teacher

5 D, E

6 A, E 7 C, F 8 C, D 9 A, C, E 10 B, C

11 D, F 12 B, C, D 13 A, B, C 14 B, E, F 15 C. E

16 A, C, D 17 B, D 18 D 20 A 21 B

22 D 23 A, D 24 A, E 25 C, D 26 C, E27 A, D, E 29 A, D E

30 a) Approximately $7.1 thousand, b) Approximately $2 thousand