However, because absolute value is defined as a distance from 0, the output can only be greater than or equal to 0. For the absolute value function f(x) x, there is no restriction on x. The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as \(1973≤t≤2008\) and the range as approximately \(180≤b≤2010\). Both the domain and range are the set of all real numbers. Similarly, the range is all real numbers except 0. Keep in mind that if the graph continues beyond the portion of the graph we can. Since the function is undefined when x -1, the domain is all real numbers except -1. The range is the set of possible output values, which are shown on the y-axis. Set the denominator equal to zero and solve for x. The output quantity is “thousands of barrels of oil per day,” which we represent with the variable \(b\) for barrels. Find the domain and range of the following function. A piecewise function can be graphed using each algebraic formula on its assigned subdomain. A piecewise function is described by more than one formula. In other words, a function f is a relation from a non-empty set A to a non-empty set B such that the domain of f is A and no two distinct ordered pairs in f. An understanding of toolkit functions can be used to find the domain and range of related functions. The input quantity along the horizontal axis is “years,” which we represent with the variable \(t\) for time. For many functions, the domain and range can be determined from a graph. ![]() ![]() \): Graph of the Alaska Crude Oil Production where the vertical axis is thousand barrels per day and the horizontal axis is years (credit: modification of work by the U.S.
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