? Vertical Line Test: Domain and Range Use the Vertical Line...

? Vertical Line Test: Domain and Range Use the Vertical Line Test to determine whether the curve is a graph of a function of x. If it is, state the domain and range of the function.
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Key Concepts

Range

The range of a function is the set of all possible output values (typically y-values) that the function can produce. It is determined by evaluating the function over its entire domain and understanding how the outputs vary.

Domain

The domain of a function is the complete set of all possible input values (typically x-values) for which the function is defined. Understanding the domain is essential in analyzing the behavior and limitations of the function.

Vertical Line Test

The vertical line test is a graphical method used to determine whether a curve in the Cartesian plane represents the graph of a function. If any vertical line intersects the curve in more than one point, the curve does not represent a function because it assigns more than one output for a single input.

Function

A function is a relation between a set of inputs and a set of outputs in which each input is related to exactly one output. This definition ensures that, for every element in the domain, there is a unique corresponding element in the range.

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