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“The graph of the relation G is shown below.”

“Give the domain and range of G.”

“The graph of the relation G is shown below.” “Give the domain and range of G.”-example-1

1 Answer

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Final answer:

The domain of the function G is [0, 20] and the range is {10}, indicated by its horizontal line on a graph.

Step-by-step explanation:

The domain and range of a function are the set of possible values that the independent variable (usually x) and dependent variable (usually f(x) or y) can take, respectively.

For the given function G, which is defined for 0 ≤ x ≤ 20 and appears as a horizontal line on the graph with a constant function value of 10, the domain would be the interval from 0 to 20 inclusive, written in interval notation as [0, 20]. Since the function is a horizontal line at f(x) = 10, the range is just that single value, represented as {10}.

In this case, the graph of the relation G is a horizontal line between x = 0 and x = 20, inclusive. Therefore, the domain of G is the closed interval [0, 20].

The range of a function represents all the possible output values, or y-values, that the function can produce. Since the graph of G is a horizontal line at y = 10, the range of G is the single value {10}.

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