Question

what is the domain? { -5, 0, 1, 2, 4 } { -4, -1, 0, 2, 7 } { -5, -4, -1, 0, 1, 2, 4, 7 } { 5 } (image shows a mapping diagram with x -4, -1, 0, 2, 7 and f(x) -5, 0, 1, 2, 4)

Explanation:

Step1: Recall domain definition

The domain of a relation (or function) is the set of all input values (the \( x \)-values in the mapping diagram).

Step2: Identify input values

In the mapping diagram, the left oval (labeled \( x \)) contains the values: \(-4\), \(-1\), \(0\), \(2\), \(7\) (wait, wait, let's check again. Wait, the left oval has \(-4\), \(-1\), \(0\), \(2\), \(7\)? Wait no, looking at the diagram: the left oval (x) has -4, -1, 0, 2, 7? Wait no, let's list the elements in the left set (domain) which are the \( x \)-values. So the left oval (input) has -4, -1, 0, 2, 7? Wait no, wait the options: the second option is \(\{-4, -1, 0, 2, 7\}\). Let's confirm: domain is the set of all \( x \)-values (inputs), so from the left oval, the elements are -4, -1, 0, 2, 7. So we check the options. The first option is the range (outputs), the second is the domain, third is a mix, fourth is wrong. So the domain is the set of input values, which are -4, -1, 0, 2, 7.

Answer:

B. \(\{-4, -1, 0, 2, 7\}\) (assuming the second option is labeled as B, with the set \(\{-4, -1, 0, 2, 7\}\))