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.
It can be observed that the graph extends horizontally from (-∞,∞), along the x axis. So the domain of the function shown in the graph is (-∞,∞).
Also we observe that the graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).
That means an infinite number of values are part of the function. For this function, there are no restrictions to the domain and range.
An infinite number of values are part of the function. Therefore, option C is the correct answer.
We need to find the range of the function shown in the graph.
To find the range of the function, look at the graph, and determine the largest interval of y-values for which there is a graph to the left of, to the right of, or on the y-axis. In other words, the range is the set of all the y-coordinates of points on the graph. Express the range either in interval notation or as an inequality involving y.
It can be observed that the graph extends horizontally from (-∞,∞), along the x-axis. So the domain of the function shown in the graph is (-∞,∞).
Also, we observe that the graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).
That means an infinite number of values are part of the function. For this function, there are no restrictions to the domain and range.
Therefore, option C is the correct answer.
To learn more about the range of the functions visit:
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