Function, describes a correlation or coincidence between a dependent variable ($Y$) and an independent variable ($X$). The legitimacy of this relationship between the variables is called the "** correspondence rule** ".

Function, describes a correlation or coincidence between a dependent variable ($Y$) and an independent variable ($X$). The legitimacy of this relationship between the variables is called the "** correspondence rule** ".

**The verbal representation of a function expresses the connection between variables verbally, i.e. through a story.**

A typical verbal representation of a function can look like this:

- Assuming that Daniel reads all the books he buys that month, the total number of books Daniel reads per year ($Y$) is a function of the number of books Danny buys each month ($X$).

A tabular representation of a function is a demonstration of the legitimacy of a function using a table of values $X$ (independent variable) and the corresponding values $Y$ (dependent variable).

**In general, a table of values is shown as follows:**

Question 1

Is the given graph a function?

Question 2

Is the given graph a function?

Question 3

Is the given graph a function?

Question 4

Determine whether the following table represents a function

Question 5

Determine whether the data in the following table represent a constant function

Is the given graph a function?

No

Is the given graph a function?

No

Is the given graph a function?

No

Determine whether the following table represents a function

No

Determine whether the data in the following table represent a constant function

No

Question 1

Is the given graph a function?

Question 2

Is the given graph a function?

Question 3

Is the given graph a function?

Question 4

Is the given graph a function?

Question 5

Determine whether the following table represents a function

Is the given graph a function?

Yes

Is the given graph a function?

Yes

Is the given graph a function?

Yes

Is the given graph a function?

Yes

Determine whether the following table represents a function

Yes

Question 1

Determine whether the following table represents a function

Question 2

Determine whether the following table represents a function

Question 3

Determine whether the following table represents a function

Question 4

Which of the following equations corresponds to the function represented in the graph?

Question 5

Which of the following equations corresponds to the function represented in the graph?

Determine whether the following table represents a function

Yes

Determine whether the following table represents a function

Yes

Determine whether the following table represents a function

No

Which of the following equations corresponds to the function represented in the graph?

$y=x+4$

Which of the following equations corresponds to the function represented in the graph?

$y=3$