In the context of functions, what does the term 'asymptote' refer to?

Practice Questions

Q1
In the context of functions, what does the term 'asymptote' refer to?
  1. A line that the graph approaches but never touches.
  2. A point where the graph intersects the x-axis.
  3. A maximum or minimum point on the graph.
  4. A point of discontinuity in the graph.

Questions & Step-by-Step Solutions

In the context of functions, what does the term 'asymptote' refer to?
  • Step 1: Understand that a graph represents a function, which is a relationship between two variables, usually x and y.
  • Step 2: Recognize that as the values of x (or y) get very large or very small (approaching infinity), the graph may get closer to a certain line.
  • Step 3: Identify that this line is called an 'asymptote'.
  • Step 4: Note that the graph gets very close to the asymptote but never actually touches or crosses it.
  • Step 5: Remember that there can be different types of asymptotes: vertical, horizontal, and oblique.
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