Question 1

Given the graph of a relation consisting of the points $$(-3, 2)$$, $$(-1, 4)$$, $$(1, 0)$$, and $$(3, -2)$$, which of the following sets correctly represents the relation?

Accepted Answer

$$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$

Question 2

What is the domain of the relation defined by the set $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$?

Accepted Answer

$$\{-3, -1, 1, 3\}$$

Question 3

What is the range of the relation defined by the set $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$?

Accepted Answer

$$\{2, 4, 0, -2\}$$

Question 4

Does the relation $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$ represent $$y as a $$function of $$x$$?

Accepted Answer

Yes, because each $$x-$$value is paired with exactly one $$y-$$value.

Question 5

If the relation $$R is $$defined by the set $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$, which of the following statements is true?

Accepted Answer

The relation is a function because no two ordered pairs have the same first component.

Question 6

Suppose you are given the set $$\{(x, y) \mid x = -3, -1, 1, 3; y = 2, 4, 0, -2\}. $$Which of the following best describes the domain?

Accepted Answer

$$\{-3, -1, 1, 3\}$$

Question 7

Which of the following would make the relation $$\{(-3, 2), (-1, 4), (1, 0), (3, -2), (1, 5)\}$$ NOT a function?

Accepted Answer

The $$x-$$value $$1 is $$paired with two different $$y-$$values.

Question 8

Given the relation $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$, which of the following is true about its graph?

Accepted Answer

It consists of four distinct points in the coordinate plane.

Question 9

If you add the point $$(3, 2) to $$the relation $$\{(-3, 2), (-1, 4), (1, 0), (3, -2)\}$$, is the new relation still a function?

Accepted Answer

No, because $$x = 3 is $$now paired with two different $$y-$$values.

Question 10

Which of the following best describes the range of a relation?

Accepted Answer

The set of all possible $$y-$$values.

Relations and Functions: Domain, Range, and Function Notation

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