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

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:

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:

Function is a type of relation between domain and range. In general, statements 1, 2 and 5 are correct about the function.

Function is a type of relation in which one input value is connected with only one output value. Though, one output can have multiple inputs.

Following are the properties of a function:

Now, if we are taking x coordinate as domain or independent variable, then the vertical line is not a function because it has multiple outputs for only one input but a horizontal line can be a function. If we interchange the dependent and independent variables, then the vertical line can be a function.

So, the correct statements are:

Therefore, in general, statements 1, 2, and 5 are correct about the function.

For more details, refer to the link:

link

google dat sis

step-by-step explanation:

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: