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For each function graphed below, state whether it is one-to-one. please view picture

For each function graphed below, state whether it is one-to-one. please view picture-example-1

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Solution

State whether it is one-to-one.

If a function has no two ordered pairs with different first coordinates and the same second coordinate, then the function is called one-to-one.

In a one-to-one function, given any y there is only one x that can be paired with the given y.

A graph of a function can also be used to determine whether a function is one-to-one using the horizontal line test:

If each horizontal line crosses the graph of a function at no more than one point, then the function is one-to-one.

Consider the graphs of the following two functions:

Hence

Graph 4 is not a one to one function

Graph 5 is a one to one function

Graph 6 is a one to one function

Therefore graph 4 is NO, graph 5 and 6 are both yes

For each function graphed below, state whether it is one-to-one. please view picture-example-1
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