Which of the following statements are true regarding functions? Check all that apply. A.The vertical line test may be used to determine whether a function is one-to-one. B. A sequence is a function whose domain is the set of real numbers. C. A function is a relation in which each value of the input variable is paired with exactly one value of the output variable. D. The horizontal line test may be used to determine whether a function is one-to-one.

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25-07-2016
Mathematics

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Which of the following statements are true regarding functions? Check all that apply. A.The vertical line test may be used to determine whether a function is one-to-one. B. A sequence is a function whose domain is the set of real numbers. C. A function is a relation in which each value of the input variable is paired with exactly one value of the output variable. D. The horizontal line test may be used to determine whether a function is one-to-one.

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andriansp andriansp · Answer 1 · 2017-10-02T11:55:34+02:00

The answer o this question would be:
A.The vertical line test may be used to determine whether a function is one-to-one
D. The horizontal line test may be used to determine whether a function is one-to-one.

Vertical and horizontal line test can be used to find out whether the function, not one-to-one. The test is done by making a horizontal line (for horizontal line test) or vertical line( for vertical line test). If there are no 2 or more points of the graph that touch the line in both tests, then the function would be one-to-one

shubhamchouhanvrVT shubhamchouhanvrVT · Answer 2 · 2022-06-07T07:48:50+02:00

The answer o this question would be:

A.The vertical line test may be used to determine whether a function is one-to-one

D. The horizontal line test may be used to determine whether a function is one-to-one.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Vertical and horizontal line tests can be used to find out whether the function, is not one-to-one. The test is done by making a horizontal line (for horizontal line test) or vertical line( for vertical line test).

If there are no 2 or more points of the graph that touch the line in both tests, then the function would be one-to-one.

Therefore the answers are:-

A.The vertical line test may be used to determine whether a function is one-to-one

D. The horizontal line test may be used to determine whether a function is one-to-one.

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