Respuesta :

A. True. If it is possible to pass a single horizontal line through more than one point on the function curve, then the function is not one-to-one (it fails the horizontal line test).

B. True. Any given input must lead to exactly one output.

C. False. The vertical line test is used to determine if a relation is a function or not.

D. False. The domain of a sequence is the set of natural numbers {1, 2, 3, ...}

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In summary, the answers are A and B

The correct statements regarding the function are as follows;

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

A function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

We have to determine

Which of the following statements are true regarding functions?

According to the question

A function is a relationship that maps elements from one set (the domain, set of the inputs) into elements from another set (the range, set of the outputs), such that each element from the domain can be mapped into only one element from the range.

If the inputs are represented in the horizontal axis, and the outputs are represented in the vertical axis when we draw a vertical line at any given point.

This line can not intersect the graph more than once (because that would mean that a given input has two different outputs). This is known as the vertical line test.

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

A function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

If it is possible to pass a single horizontal line through more than one point on the function curve, then the function is not one-to-one (it fails the horizontal line test).

To know more about Functions click the link given below.

https://brainly.com/question/10557052