Here are the essential concepts you must grasp in order to answer the question correctly.
Function Definition
A function is a relation where each input (or domain element) is associated with exactly one output (or range element). This means that for every x-value in the domain, there must be a unique y-value. Understanding this concept is crucial for determining whether a given relation qualifies as a function.
Recommended video:
Graphs of Common Functions
Domain and Range
The domain of a function is the complete set of possible input values (x-values) that the function can accept, while the range is the set of possible output values (y-values) that the function can produce. Identifying the domain and range helps in understanding the behavior and limitations of the function.
Recommended video:
Domain and Range of Function Transformations
Vertical Line Test
The vertical line test is a visual method used to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, the relation is not a function. This test provides a straightforward way to assess the uniqueness of outputs for given inputs.
Recommended video: