Quiz 1: Relations and Functions

Given the function, f (x) = |x+1|+2 , choose the correct transformation.

left 1, up 2

Which of the following statements best describes the relationship of a relation and a function? Select all that apply.

- A function is always a relation. - A relation is a function, if and only if, the x- values do not repeat in a given set.

Use the graph of the function to find, f(2).

1

Which of the following sets of ordered pairs represents a function?

{(-1,4),(1,4),(2,4),(-2,4)}

Given A = {(1, 3)(-1, 5)(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following multiple choice question: From the list of sets A, B, and C, state the domain of set B.

Domain of set B: {2, 4, -4, 0}

Write the solution to the given inequality in interval notation. Closed dot on 4 open dot on 6.

[4,6)

Given A = {(1, 3)(-1, 5}(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following multiple choice question: From the list of sets A, B, and C above, choose the set of relations that correctly represents a function.

Sets A and B only

Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?

Wrong : The V

The graph of an absolute value function opens down and has a vertex of (-3,0).

Wrong: The domain of the function is (-infinity, 0] The range of the function is [-3, infinity)

If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)?

Wrong: 2x2 + 4x + 1

The domain of a function is

Wrong: The set of all points on the function.

Given the function, f (x) = 1 / x-1-5, choose the correct transformation.

Wrong: left 1, down 5

Given the function, f (x) = x-1-6 , choose the correct transformation.

Wrong: left 1, down 6

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is

Wrong: {-8, -1, 0, 6}