Question

instructions
use the mapping to answer the questions.
classify a mapping
8
identify the domain and range.
○ d: {5,7,9,10}
r: {3,6,12,18}
○ d: {3,6,12,18}
r: {5,7,9,10}
○ d: {3,6}
r: {5,10}

Explanation:

To solve this, we first identify the domain (set of all \( x \)-values) and range (set of all \( y \)-values) from the mapping:

Step 1: Identify the Domain

The domain is the set of all elements in the \( x \)-oval. From the diagram, the \( x \)-values are \( 3, 6, 12, 18 \). So, the domain \( D = \{3, 6, 12, 18\} \).

Step 2: Identify the Range

The range is the set of all elements in the \( y \)-oval (the values mapped to). From the diagram, the \( y \)-values are \( 5, 7, 9, 10 \). So, the range \( R = \{5, 7, 9, 10\} \).

Looking at the options, the one with \( D = \{3, 6, 12, 18\} \) and \( R = \{5, 7, 9, 10\} \) is the correct choice.

Answer:

The correct option is the one with \( D = \{3, 6, 12, 18\} \) and \( R = \{5, 7, 9, 10\} \) (matching the second option in the provided choices: \( D: \{3,6,12,18\}, R: \{5,7,9,10\} \)).