Answer :

Through the use of the vertical line test, the graph that stands for a function is known to be graph B.

Why choose graph B?

Graph b: is known to be the one that has horizontal line and the reason why we choose the function is that it can have repeating y values and the other graphs possess repeating x values and as such, they are not functions.

Note that For a graph to stand as a function, the graph need to pass through a vertical line test and the vertical line test is one whose line range from the x-axis and passes via a y-value just once.

Since Graphs (a), (c) and (e) do not stand for the function, due to the fact that they do not pass the vertical line test, only b does.

Therefore, Through the use of the vertical line test, the graph that stands for a function is known to be graph B.

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Answer: The single horizontal line is the function, known as a constant function.

Any number in the domain, or x-value, will have the same range (y-value), which is allowed in being a function. A y-value can have different x-values, but one x-value cannot have multiple y-values. The straight line test will not cross the x-axis twice, but will constantly cross the y-axis at one point, 3.

In this case, f(x) = a. Any x will result in the same y.

f(2) = 3, f(56) = 3, f(11.9) = 3, f(1,822,475,051) = 3, etc.

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