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Find the domain and range of the following function.

Find the domain and range of the following function.-example-1

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Answer:

Domain : [-5,5]

Range : [-3,4}

Explanation:

By definition:

Domain is the set of all inputs for which the given function is defined

  • Graphically we can visualize it as the shadow of the graph on the x axis, and the shadow is formed above and below the x axis.
  • In this graph, the shadow starts at -5 and ends at 5 , hence domain is [-5,5]

Range is the set of all outputs

  • Graphically it is the shadow of the graph on the y axis from both sides
  • In this graph, the shadow on y axis starts at -3 and ends at 4, hence range is [-3,4}
User Shankar Agarwal
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