Range: - ∞ < y < ∞ Domain: - ∞ Type of Domain: Continuous, see solution.
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The arrows on the graph indicate that the function will continue forever in the downward and upward direction. Therefore, any real number y can be an output. This also tells us that there are no gaps in the function and that we can input any real number for x.
Therefore, we can write our domain and range as an interval that contains all real numbers.
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Because the given graph is an unbroken line, we can say that the function is continuous.
