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Determine the domain and range of the function shown in the graph.

Determine the domain and range of the function shown in the graph.-example-1

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Answer:

The domain and range of the function shown in the graph will be:

x; y

Thus, option 2 is true.

Explanation:

  • We know that domain is the set of all possible values for which is the function is defined.

First, let's check the domain. We see a closed circle at x = -4 and the graph is heading towards +ve infinity i.e. [-4, ∞).

A closed circle means the point is included in the domain.

Therefore, the domain is:

x ≥ -4

  • We know that the range is the set of values of the dependent variable for which a function is defined.

Now, let's check the range. We see a closed circle at y = 2 and the y-values of the graph are heading towards +ve infinity. i.e. [2, ∞)

Therefore, the range is:

y ≥ 2

Hence, the domain and range of the function shown in the graph will be:

x ≥ -4; y

Thus, option 2 is true.

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