Consider . For a given value of , there can be more than one corresponding value of . Based on this, the relationship is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the difference between equations and functions. The key concept is that an equation does not necessarily restrict one input to a unique output, while a function does.
Key Concept Explanation
An equation is a mathematical statement that expresses the equality between two expressions. It does not require a unique corresponding relationship between variables; one input can correspond to multiple outputs. A function, on the other hand, is a special type of relationship where each input (independent variable) has a unique output (dependent variable).
Step-by-step Solution
1. Consider the equation .
2. For a given value of , solve for .
3. Notice that for a specific , there are two possible values of :
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