The function is .

The above function is piecewise function.

Graph the constant function for . Since does satisfy this inequality, the segment began with an closed circle at and draw a horizontal ray to the left.

Graph the linear function for .

Substitute the value of in the function .

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Substitute the value of in the function .

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Since does not satisfy this inequality, the line began with an open circle at and since 2 does not satisfy this inequality, this line stop with an open circle at .

Graph the linear function for .

Substitute the value of in the function .

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Since 2 does satisfy this inequality, began with an closed circle at and to the right of , graph .

The function graph is

The function is defined for all values of x, so the domain is all real numbers.

The values that are y - coordinates of points on the graph are  and all real numbers less than 2. So the range is .

The domain of the function is all real numbers and its range is , and its graph is