โˆซcalculus i review

key term - Restricted domain

Definition

A restricted domain is a subset of the original domain of a function, chosen to make the function one-to-one. This is essential for finding an inverse function.

5 Must Know Facts For Your Next Test

  1. Restricting the domain ensures that each $y$-value corresponds to exactly one $x$-value.
  2. For a function to have an inverse, it must be injective (one-to-one).
  3. Common functions requiring domain restrictions include quadratic and trigonometric functions.
  4. Graphically, restricting the domain may involve selecting a portion where the function passes the Horizontal Line Test.
  5. The restricted domain often depends on the context or specific problem requirements.

Review Questions

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