Question

what is the domain of f? {5,3} {-1,0,1,2,3} (-5,-3,-1,0,2,3,4) {-5,-3,0,2,4}

Explanation:

Step1: Recall Domain Definition

The domain of a relation (represented by a mapping diagram) is the set of all input values (the first oval's elements).

Step2: Identify Input Values

From the mapping diagram, the first oval (domain) has elements: \(-5, -3, 0, 2, 4\) (visually confirmed from the top oval's numbers).

Step3: Match with Options

Check the options:

• Option 1: \(\{3,5,3\}\) (incorrect, not input values).
• Option 2: \(\{-1,0,1,2,3\}\) (incorrect, these are output values from the bottom oval).
• Option 3: \((-5,-3,-1,0,2,3,4)\) (incorrect, includes output values like \(-1,1,3\)).
• Option 4: \(\{-5, -3, 0, 2, 4\}\) (matches the input values from the domain oval).

Answer:

\(\{-5, -3, 0, 2, 4\}\) (the last option with these elements)