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Example #1: Find the Domain and Range of a Graph. For our first example, we are given the graph of the function f (x)=x^2 and we are tasked with finding the domain and the range (note that our answers must be in interval notation). Figure 08: Find the domain and range of the graph of y=x^2.
Finding Domain and Range from Graphs. Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the [latex]x [/latex]-axis. The range is the set of possible output values, which are shown on the [latex]y [/latex]-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain ...
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than ...
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis. Keep in mind that if the graph continues beyond ...
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than ...
Example \(\PageIndex{6B}\): Finding Domain and Range from a Graph of Oil Production Find the domain and range of the function \(f\) whose graph is shown in Figure \(\PageIndex{10}\). Figure \(\PageIndex{10}\): Graph of the Alaska Crude Oil Production where the vertical axis is thousand barrels per day and the horizontal axis is years (credit ...
See Figure 6. We can observe that the graph extends horizontally from -5 −5 to the right without bound, so the domain is \left [-5,\infty \right) [−5,∞). The vertical extent of the graph is all range values 5 5 and below, so the range is \left (\mathrm {-\infty },5\right] (−∞,5]. Note that the domain and range are always written from ...
This video provides two examples of how to determine the domain and range of a function given as a graph. Finding the domain and range of a function is as simple as finding the possible X and Y values, respectively. Learn about X and Y values as dependent and independent variables. Finding the domain of a function, without graphing.
Learning Outcome. Find the domain and range of a function from its graph. We have learned that the set of input values for a function is called the domain of the function and the set of output values is called the range of the function. We have also learned how to algebraically determine the domain of a function.