Question

6
The domain and range of real function f defined by f(x) = x-1 is given by
(A) Domain=(1,Infinite), Range = (0,Infinite)
(B) Domain= [1, Infinite), Range = (0,infinite)
(C) Domain= [1,Infinite), Range = [0, Infinite)
(D) Domain =(1,Infinite), Range = [0,Infinite)​

Answer 1

Answer:

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 [Math Processing Error]-axis. The range is the set of possible output values, which are shown on the [Math Processing Error]-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 the visible values.

Graph of a polynomial that shows the x-axis is the domain and the y-axis is the range

We can observe that the graph extends horizontally from [Math Processing Error] to the right without bound, so the domain is [Math Processing Error]. The vertical extent of the graph is all range values [Math Processing Error] and below, so the range is [Math Processing Error]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.

Step-by-step explanation:

EXAMPLE: FINDING DOMAIN AND RANGE FROM A GRAPH

Find the domain and range of the function [Math Processing Error].

Graph of a function from (-3, 1].

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EXAMPLE: FINDING DOMAIN AND RANGE FROM A GRAPH OF OIL PRODUCTION

Find the domain and range of the function [Math Processing Error].

Graph of the Alaska Crude Oil Production where the y-axis is thousand barrels per day and the -axis is the years.