โˆซcalculus i review

key term - Vertical line test

Definition

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

5 Must Know Facts For Your Next Test

  1. A graph passes the vertical line test if no vertical line intersects it at more than one point.
  2. If even one vertical line intersects the graph at multiple points, it fails the test and is not a function.
  3. The vertical line test can be applied to any type of graph, including piecewise functions and implicit curves.
  4. Graphs of functions that pass the vertical line test include linear functions, quadratic functions, and polynomial functions.
  5. Failing the vertical line test means that for some input value $x$, there are multiple output values $y$, which violates the definition of a function.

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