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Graphing Radical Functions

Graphing Radical Functions 1.8 - Solution

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One of the differences between a square root and a cube root function is the domain.

  • For square root functions, the domain is only defined for numbers that result in nonnegative radicands.
  • For cube root functions, the domain is defined for all real numbers.

From the diagram, we see that the graph has a domain of and range of and

Since the graph's domain and range are restricted, we can conclude that this must be a square root function.