Which of the following is true regarding functions Check all that apply

{} the vertical line test may be used to determine whether a function is one- to- one.

{} 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.

{} a sequence is a function whose domain is the set of real numbers

he horizontal line test is used to determine if a function is one-to-one.

It works by testing if a horizontal line intersects the graph of a function once or more than once.

If the horizontal line intersects the function's graph more than one time, that means the function is not one-to-one.

This means answer choice A is true.

In a function, every input must be paired with exactly one output.

If a single number appears more than once, both as input values, the relation is not a function.

This means answer choice B is incorrect.

The vertical line test is used to determine whether or not a curve in a graph represents a function or not.

This works by checking if any inputs, x-values, are paired with multiple outputs, y-values, by drawing a vertical line through points on the curve.

This means answer choice C is true.

A sequence is a data set, or just set of numbers, that follow a specific pattern.

This could be by a common difference or common ratio.

Sometimes sequences are defined as functions with a domain of natural numbers.

Natural numbers are whole positive numbers.

Rational numbers are are numbers that can be written as a simple fraction.

Rational numbers can be decimals, fractions, and even negative.

While answer choice D is close to being true, the domain of sequences is always natural, numbers, not rational.

This means answer choice D is incorrect.

Answers:

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

C. The vertical line test may be used to determine whether a relation is a function.

Step-by-step explanation:

Answers:

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

C. The vertical line test may be used to determine whether a relation is a function.