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Which of the following statements are true regarding functions?
Check all that apply.

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

b.) a function is a relation in which multiple values of the input variable are paired with at least one of the output variable.

c.) a sequence is a function whose domain is the set of rational numbers.

d.) the vertical line test may be used to determine whether a relation is a function.

Which of the following statements are true regarding functions Check all that apply a the horizontal line test may be used to determine whether a function is on class=

Respuesta :

Using function concepts, it is found that the correct options are:

  • a.) the horizontal line test may be used to determine whether a function is one-to-one.
  • d.) the vertical line test may be used to determine whether a relation is a function.

A function relates each value of the input to one value of the output, hence, option b is incorrect.

  • On a graph, each value of x(horizontal axis) is mapped to a value of y(vertical axis), hence, a vertical line test can be applied to determine whether the relation is a function, and option d is correct.
  • A horizontal line can be used to verify if the function is one-to-one, that is, if each value of y is related to only one value of x, hence, option a is correct.

In a sequence, the inputs are natural numbers, that is, 0, 1, 2, 3 and so on, hence, option c is incorrect.

To learn more about function concepts, you can take a look at https://brainly.com/question/12463448