Look at this set of ordered pairs: (18, 15) (11, 8) (4, 19) (8, 16) Is this relation a function? Choices: (A)yes (B)no

Understand Function Definition: Step 1: Understand the definition of a function. A relation is a function if each input (first number in each ordered pair) has exactly one output (second number in each ordered pair). We need to check if any input value repeats with different outputs. List Input Values: Step 2: List all the input values from the ordered pairs. Inputs are 18, 11, 4, and 8. Check Repeated Inputs: Step 3: Check for repeated input values. Only the input value 8 appears more than once. Check Outputs for Repeated Input: Step 4: Check the outputs for the repeated input. For the input 8, the outputs are 16. Since there is no other pair with the input 8 having a different output, there is no contradiction to the definition of a function.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Look at this set of ordered pairs: $\newline$ $(18, 15)$ $\newline$ $(11, 8)$ $\newline$ $(4, 19)$ $\newline$ $(8, 16)$ $\newline$ Is this relation a function? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Full solution

Q. Look at this set of ordered pairs:

\newline

(18, 15)

\newline

(11, 8)

\newline

(4, 19)

\newline

(8, 16)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand Function Definition: Step $1$ : Understand the definition of a function. $\newline$ A relation is a function if each input (first number in each ordered pair) has exactly one output (second number in each ordered pair). We need to check if any input value repeats with different outputs.
List Input Values: Step $2$ : List all the input values from the ordered pairs. $\newline$ Inputs are $18$ , $11$ , $4$ , and $8$ .
Check Repeated Inputs: Step $3$ : Check for repeated input values. $\newline$ Only the input value $8$ appears more than once.
Check Outputs for Repeated Input: Step $4$ : Check the outputs for the repeated input. $\newline$ For the input $8$ , the outputs are $16$ . Since there is no other pair with the input $8$ having a different output, there is no contradiction to the definition of a function.