Question

Question

Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function?

Select all correct answers.
Select all that apply:

{(2,−5),(−2,0),(−3,6),(2,−4)}
{(−1,5),(−4,8),(−4,14),(2,6)}
{(1,3),(−2,−1),(4,3),(8,1)}
{(−2,−5),(7,1),(7,−3),(4,−1)}
{(8,8),(4,1),(1,6),(−5,6)}

Answer 1

• (c) {(1,3),(−2,−1),(4,3),(8,1)}
• (e) {(8,8),(4,1),(1,6),(−5,6)}

Explanation:

You want the lists of ordered pairs that represent a functional relation.

Function

A function maps an input value to exactly one output value. A set of ordered pairs will represent a function if no input (x-value) is repeated.

We only need to look at the first values of the ordered pairs.

(a) 2 is repeated

(b) -4 is repeated

(c) a function

(d) 7 is repeated

(e) a function