Chapter 2 Quiz

Chapter [2.1]-[2.4], [2.7] Quiz

PINK TEST

1. Use your calculator to find out which graph below matches

[A] [B] [C] [D]

[E] None of these

2. Use your calculator to find the graph of

[A] [B] [C] [D]

[E] None of these

3. Use the TbsSet and TABLE feature of the graphing calculator to tell which table matches the graph of

[A] [B]

[C] [D]

[E] None of these

4. Which of the following is an example of a relation? Mark all that apply.

[A] [B] f(x) = 2x + 1 [C] [D]

[E] { (2, 3), (2, 5), (6, -1), (5, 7) }

5. Which of the following is a function?

[A] x = [B] {(6, –5), (6, 2), (2, –1)}

[C] {(–1, 6), (3, 6), (–5, 6)} [D] = 1

6. Is this an example of a function?

[A] Yes [B] No

7. Are these functions? (A) (B)

[A] Both are [B] Neither is [C] (A) is not, (B) is [D] (A) is, (B) is not

8. How many of these are functions?

[A] All of them [B] Three of them [C] Two of them [D] Only one of them

[E] Four of them

9. Which of these is a function? (A) (B)

[A] (A) and (B)

[B] Neither (A) nor (B)

[C] (B) only

[D] (A) only

10. Find

[A] 37 [B] –5 [C] 29 [D] –4 [E] None of these

11. What is the domain of this graph?

[A] y is all Real Numbers

[B]

[C]

[D] x is all Real Numbers

[E]

12. What is the range of this graph?

[A] y is all Real Numbers

[B]

[C]

[D] x is all Real Numbers

[E]

13. What is the domain of the function ?

[A] Any positive number

[B] Any number

[C] all Real Numbers

[D] None of these

14. What is the range of the function ?

[A] Any number

[B] All Real Numbers

[C] Any number

[D] None of these

15. Find the slope of the line passing through the points (–3, 3) and (6, 2).

[A] [B] [C] [D]

16. What is the slope of this line?

[A] [B] -4 [C] [D] 4

17. Decide whether Line 1 and Line 2 are parallel, perpendicular, or neither.

Line 1 passes through (–9, –8) and (–4, –4)

Line 2 passes through (–7, –2) and (–11, 3)

[A] Perpendicular [B] Neither [C] Parallel

18. What is the slope of this line?

[A] Zero [B] -3 [C] Undefined [D] 3

19. What is the slope of this line?

[A] Zero [B] -3 [C] Undefined [D] 3

20. Find the x- and y-intercepts of .

[A] x-intercept: –6; y-intercept: –7

[B] x-intercept: ; y-intercept: –7

[C] x-intercept: –7; y-intercept:

[D] x-intercept: –7; y-intercept: –6

21. Graph the line.

y =

[A] [B]

[C] [D]

22. Graph:

[A] [B]

[C] [D]

23. Write an equation of a line that has slope 6 and y-intercept 9.

[A] [B] [C] [D]

24. Write the equation of the line, in slope-intercept form, that passes through the point and has slope 3.

[A] [B] [C] [D]

25. Write an equation for this line:

[A] [B] [C] [D] [E]

26. Write an equation for this line:

[A] [B] [C] [D] [E]

27. When is the form of a line most appropriate to use?

[A] When you only know the slope of a line and a point on it.

[B] When you know the slope and y-intercept of a line.

[C] When you know two points on a line.

28. Write the slope-intercept form of the line that passes through the point and is parallel to the line

[A] y = [B] y = [C] y = [D] y =

29. Write an equation to model the following situation.

A candle is 6 in. tall and burns at a rate of 2.50 in./h.

[A] y = [B] y = [C] y = 2.5x + 6 [D] y = –2.5x + 6

30. Find an equation for the line passing through points (10, 13) and (16, 15).

[A] [B] [C] [D]

[E] None of these

31. Which of the following is a linear equation for this graph?

[A]

[B]

[C]

[D]

[E] None of these

32.

[A] –10 [B] 2 [C] 8 [D] 6 [E] None of these

33. Which piecewise function has the following graph?

[A] [B]

[C] [D]

Answer Key & Hints

Reference is where to look in the book. For example “Reference 1.1” means Chapter 1, Section 1.

Reference: [Notes]

[1] [B]

Hint: You need to know how to enter absolute value on the TI-82. It’s the 2^nd ABS button.

Reference: [Notes]

[2] [D]

Hint: You need to know how to enter absolute value on the TI-82. It’s the 2^nd ABS button.

Reference: [Notes]

[3] [A]

Hint: You need to know how to use the Tbl Set feature on the calculator. TblMin is the lowest value in the table and DTbl is how much to increment the table by. For this problem, TblMin = -40 and DTbl = 0.5

Reference: [2.1]

[4] [ABCE]

Hint: Look in your notes for what a relation is.

Reference: [2.1]

[5] [C]

Hint: [A and D] don’t work, because if you pick an x-value, there are two possible y-values (outputs).

Reference: [2.1]

[6] [A]

Hint: It’s ok that two inputs have the same output. What you can’t have is one input that has two outputs.

Reference: [2.1]

[7] [C]

Hint: A doesn’t pass the vertical line test. B does.

Reference: [2.1]

[8] [B]

Hint: The second and third graphs are not functions. The rest are.

Reference: [2.1]

[9] [D]

Hint: B isn’t a function because if you pick an x-value, there are two possible y-values. For example, pick x = 10. Then y can be positive or negative 10. That’s two outputs (y-values).

Reference: [2.1]

[10] [B]

Hint: If basic fraction math gives you trouble, it’s time you get it down. Get help NOW and make flash cards. Algebra 2 requires solid fraction skills the entire year.

Reference: [2.1]

[11] [E]

Hint: Look at the graph. It has input values (x-coords) from 1 to infinity. That’s the domain.

Reference: [2.1]

[12] [A]

Hint: Look at the graph. It has output values (y-coords) from negative to positive infinity.

Reference: [2.1]

[13] [B]

Hint: The domain is the input x-values. The smallest x-value you can put into the equation is –2. If you try smaller than that, you get a negative inside the square root, which you can’t have until we study imaginary numbers.

Reference: [2.1]

[14] [C]

Hint: You have to understand 13 first. The smallest domain value is –2. From there it goes up to infinity. So, try plugging in x = -2. You get 0. Anything else higher will make the output higher, so the range is therefore 0 to infinity.

Reference: [2.2]

[15] [D]

Hint: Try using the slope formula AND drawing a picture. They should match.

Reference: [2.2]

[16] [A]

Hint: None

Reference: [2.2]

[17] [A]

Hint: Find the slopes and compare them. How are the slopes of perpendicular lines related?

Reference: [2.1]

[18] [C]

Hint: Make a flash card if you missed this.

Reference: [2.1]

[19] [A]

Hint: Make a flash card if you missed this.

Reference: [2.3]

[20] [B]

Hint: Look in the book for how to find intercepts. You plug in 0 for either x or y and then solve.

Reference: [2.3]

[21] [C]