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The range of f(x) is a subset of the giv...

The range of f(x) is a subset of the given set

A

Domain

B

CoDomain

C

Relation

D

(1,2)

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The correct Answer is:
To solve the problem of determining which set the range of a function is a subset of, we can follow these steps: ### Step 1: Understand the Definitions - **Domain**: The set of all possible input values (x-values) for the function. - **Co-domain**: The set of all possible output values (y-values) that the function could theoretically produce. - **Range**: The actual set of output values that the function produces when we apply it to the domain. ### Step 2: Identify the Relationship The range of a function is derived from the co-domain. This means that the range consists of the values that the function actually takes when we input all the values from the domain. ### Step 3: Determine the Subset Since the range is made up of the outputs that the function can produce, it must be a subset of the co-domain. This is because the co-domain includes all possible outputs, while the range only includes those outputs that are actually achieved by the function. ### Conclusion Thus, we conclude that the range of the function is a subset of the co-domain. ### Final Answer The range of the function is a subset of the co-domain. ---
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