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Use the vertical line test to determine if the graphs are functions.

Question : Use the vertical line test to determine if the graphs are functions. : 2151614

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Use the vertical line test to determine if the graphs are functions.

27)

A) Yes

B) No

28)

A) Yes

B) No

29)

 

A) Yes

B) No

Provide an appropriate response.

30) A function is considered to be an even function if f(-x) = f(x). That is, the function is even if the value of a function for a given number is the same as the value of the function for the opposite of the given number. A function is considered to be an odd function if f(-x) = f(x). That is, the function is odd if the value of the function for a given number is the opposite of the value of the function for the opposite of the given number. For example, if for a certain function f(2) = 5 and f(-2) = 5, then it is even; and if for a certain function f(7) = -2 and f(-7) = 2, then it is odd.

Given the function f(x) = x2 + 1, is the function even, odd, or neither? Evaluate f(3), f(-3), f(1), and f(-1) to make this determination.

A) even

B) neither

C) odd

31) A function is considered to be an even function if f(-x) = f(x). That is, the function is even if the value of a function for a given number is the same as the value of the function for the opposite of the given number. A function is considered to be an odd function if f(-x) = f(x). That is, the function is odd if the value of the function for a given number is the opposite of the value of the function for the opposite of the given number. For example, if for a certain function f(2) = 5 and f(-2) = 5, then it is even; and if for a certain function f(7) = -2 and f(-7) = 2, then it is odd.

Given the function f(x) = -x3 + x, is the function even, odd, or neither? Evaluate f(3), f(-3), f(1), and f (-1) to make this determination.

A) neither

B) odd

C) even

32) The composition of two functions f and g, written as (f g)(x) is defined so that the result of evaluating g(x) is used as the value for x in the function f(x). Given the functions f(x) = 2x + 1 and g(x) = √(x + 3), evaluate (f g)(6).

A) 13

B) 7

C) 3

D) 4

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the domain and the range of the functions or relations from the graph.

34)

A) domain: (-∞, ∞); range: (-∞, ∞)

B) domain: (-∞, ∞); range: (-∞, -4]

C) domain: (-∞, ∞); range: [-4, ∞)

D) domain: [-4, ∞); range: (-∞, ∞)

35)

 

A) domain: [- 2, ∞); range: (-∞, ∞)

B) domain: (-∞, ∞); range: [- 2, ∞)

C) domain: (-∞, ∞); range: [-∞, - 2]

D) domain: (-∞, ∞); range: (-∞, ∞)

36)

 

A) domain: [2, ∞); range: [2, ∞)

B) domain: [2, ∞); range: (-∞, ∞)

C) domain: (-∞, ∞); range: (-∞, ∞)

D) domain: (-∞, ∞); range: [2, ∞)

37)

 

A) domain: [5, ∞); range: (-∞, ∞)

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: [0, ∞); range: (-∞, ∞)

D) domain: (-∞, ∞); range: [5, ∞)

38)

A) domain: [0, 4]; range: [0, 4]

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: [0, 2]; range: [0, 2]

D) domain: [-2, 2]; range: [-2, 2]

39)

A) domain: [0, ∞); range: [0, ∞)

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: [-1, 7]; range: [-8, 0]

D) domain: [-8, 0]; range: [-1, 7]

40)

A) domain: [-8, 8]; range: [-9, 9]

B) domain: [0, 9]; range: [0, 8]

C) domain: [-9, 9]; range: [-8, 8]

D) domain: (-∞, ∞); range: (-∞, ∞)

41)

A) domain: (-∞, ∞); range: (-∞, -2] [2, ∞)

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: [-2, 2]; range: (-∞, ∞)

D) domain: (-∞, -2] [2, ∞); range: (-∞, ∞)

42)

A) domain: (-∞, -4] [4, ∞); range: (-∞, ∞)

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: [-4, 4]; range: (-∞, ∞)

D) domain: (-∞, ∞); range: (-∞, -4] [4, ∞)

43)

A) domain: [2]; range: [2]

B) domain: [2]; range: (-∞, ∞)

C) domain: (-∞, ∞); range: (-∞, ∞)

D) domain: (-∞, ∞); range: [2]

44)

 

A) domain: [1]; range: [1]

B) domain: (-∞, ∞); range: [1]

C) domain: (-∞, ∞); range: (-∞, ∞)

D) domain: [1]; range: (-∞, ∞)

45)

A) domain: [4, 5]; range: (-∞, -4]

B) domain: (-∞, ∞); range: (-∞, -4]

C) domain: (-∞, ∞); range: [-4, ∞)

D) domain: (-∞, 4) (5, ∞); range: [-4, ∞)

46)

A) domain: (-∞, ∞); range: (-∞, ∞)

B) domain: (0, ∞); range: (0, ∞)

C) domain: (-∞, ∞); range: (0, ∞)

D) domain: (-∞, 0); range: (-∞, 0)

47)

A) domain: (-∞, ∞); range: (-∞, 1]

B) domain: (-∞, ∞); range: (-∞, 1)

C) domain: (-∞, ∞); range: (1, ∞)

D) domain: (-∞, ∞); range: (-∞, -6]

48)

 

A) domain: (-∞, ∞); range: (-6, ∞)

B) domain: (-∞, ∞); range: (-3, ∞)

C) domain: (-∞, ∞); range: (-∞, -6]

D) domain: (-∞, ∞); range: [-6, ∞)

49)

A) domain: [0, ∞); range: [0, ∞)

B) domain: (-∞, ∞); range: [-2, ∞)

C) domain: [0, ∞); range: [-2, ∞)

D) domain: [0, ∞); range: (-∞, ∞)

Provide an appropriate response.

50) A piecewise-defined function is a function with more than one part or piece. The piece of the function which is evaluated is indicated by the value of x which is given. Find f(–3) for the function:

A) -6

B) -14

C) 4

D) -10

51) Solve the system of nonlinear equations:

x2 - y2 = 9

x + y = 0

A) (5, 4)

B) (3, -3)

C) both A and B

D) neither A nor B

52) If the graphs of a system of equations consist of a circle and a line, which of the following is NOT a possible solution?

A) one point

B) many solutions

C) no solution

D) two points

53) What is the domain and range of the equation in the graph?

A) domain: [-2,2], range [-4,4]

B) domain: [-2,2], range [-2,2]

C) domain: [-4,4], range [-4,4]

D) domain: [4,-4], range: [-2,2]

54) List the domain and range for the equation y = 2x2+2.

A) domain = (-∞, + ∞), range = (-∞, + ∞)

B) domain = [2 + ∞), range = (-∞, + ∞)

C) domain = (-∞, + ∞), range = [2 + ∞)

D) domain = [2, + ∞), range = [2 + ∞)

55) List the domain and range for the equation y = x3.

A) domain = (-∞, + ∞), range = (0 + ∞)

B) domain = (0, + ∞), range = (0 + ∞)

C) domain = (-∞, + ∞), range = (-∞, + ∞)

D) domain = (0, + ∞), range = (-∞ + ∞)

Solution
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