Question

Which statements are true of functions? Check all that apply. All functions have a dependent variable. All functions have an independent variable. The range of a function includes its domain. A vertical line is an example of a functional relationship. A horizontal line is an example of a functional relationship. Each output value of a function can correspond to only one input value

Answer 1

Answer:

First option: All functions have dependent variable

Second option: All functions have an independent variable.

Fifth option: A horizontal line is an example of a functional relationship

Answer 2

Answer:

First option: All functions have dependent variable (At least)

Second option: All functions have an independent variable.

Fifth option: A horizontal line is an example of a functional relationship.

Step-by-step explanation:

By definition, a relation is a function if each input value has one and only one output value.

A function have a at least a dependent variable and an independent variable. For example, given a function:

 $y=x$

The dependent variable is "y"  and the independent variable is "x".

The Domain of the function is the set of possible input values and the Range is the set of possible output values,

Vertical lines have undefined slope. Since the value of "x" never changes, a vertical line is not an example of a functional relationship.

In the case of Horizontal lines, for any x-value you get the same y-value. These are called "Constant functions".

Based on this, the following statements are true:

• All functions have a dependent variable (At least).
• All functions have an independent variable.
• A horizontal line is an example of a functional relationship.