Function, describes a correlation or coincidence between a dependent variable () and an independent variable (). The legitimacy of this relationship between the variables is called the " correspondence rule ".
Function, describes a correlation or coincidence between a dependent variable () and an independent variable (). 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:
A tabular representation of a function is a demonstration of the legitimacy of a function using a table of values (independent variable) and the corresponding values (dependent variable).
In general, a table of values is shown as follows:
Is the given graph a function?
Examples of exercises on verbal and tabular representation of a function
is a function of that corresponds to any value of a number less than it in .
Solve the equation for each of the numbers of represented in the following table and place the correct number in. .
If , then Y will be equal to ____________
If , then Y will equal ___________ .
A value of corresponding to is __________
A value corresponding to is __________
Is the given graph a function?
Is the given graph a function?
Is the given graph a function?
Describe in words the relationship between e .
Write down which table represents a function and which table does not represent a function
Is the given graph a function?
Is the given graph a function?
Is the given graph a function?
is a function of that corresponds to any value of a number that is times greater than it.
Complete the table of values
is a function of that corresponds to any value of a number times less than it.
Complete the table of values
Determine whether the following table represents a function
Determine whether the following table represents a function
Determine whether the following table represents a function
Complete the following table
Answer the following questions (for each example, write a table of values and draw the graph)
Determine whether the following table represents a function
Determine whether the data in the following table represent a constant function
Determine whether the following table represents a function
The function corresponds to any number that is its root.
Complete the table of values
The function corresponds to any number less than of half the number
Which of the following equations corresponds to the function represented in the table?
Which of the following equations corresponds to the function represented in the table?
Is the given graph a function?
The function corresponds to any number greater in times the number
What is a function?
A function is a relationship between two variables, the variable which is called the dependent variable, and the variable , which is called the independent variable, between these two variables there is a correspondence rule; that is, for each value of there is only one value of .
What are the ways of representing a relationship?
A function can be represented as follows:
How to represent functions step by step?
Let's see an example of how to represent a function.
Example:
Represent the following function in its different forms
Let be a function of such that a value of corresponds to a number increased by
We already have the function in algebraic form, now we are going to give values to , to find the value of , according to the correspondence rule, and these values we are going to register them in a table:
Now we are going to substitute the values of , to register the value that corresponds to , let's start with
We already know that the algebraic expression of this function is:
Then,
When
When
When
When
When
When
According to this data we are now going to record it in the table
We have represented the function in a table of values.
Finally we are going to represent these values in a graph:
We are going to find the pairs of coordinates in the Cartesian plane, and join each point as follows.
We can see that the function in graphical form is a linear function because it forms a straight line.
If you are interested in this article you may also be interested in the following articles:
Graphical representation of a function
Algebraic representation of a function
Numerical value assignment in a function
Growing and decreasing intervals of a function
In Tutorela you will find a variety of articles with interesting explanations about mathematics.
Is the given graph a function?
Is the given graph a function?
Is the given graph a function?
Is the given graph a function?
It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y
Let's note that in the graph:
In other words, there are two values for the same number.
Therefore, the graph is not a function.
No
Is the given graph a function?
It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y
We should note that for every X value found on the graph, there is one and only one corresponding Y value.
Therefore, the graph is indeed a function.
Yes
Is the given graph a function?
It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y
We should note that for every X value found in the graph, there is one and only one corresponding Y value.
Therefore, the graph is indeed a function.
Yes
Determine whether the following table represents a function
It is important to remember that a constant function describes a situation where as the X value increases, the function value (Y) remains constant.
In the table, we can see that there is a constant change in the X values, specifically an increase of 2, and the Y value remains constant.
Therefore, according to the rule, the table describes a constant function.
Yes
Determine whether the following table represents a function
It is important to remember that a constant function describes a situation where as the X value increases, the function value (Y) remains constant.
In the table, we can see that there is a constant change in X values, meaning an increase of 1, and a constant change in Y values, meaning an increase of 3
Therefore, according to the rule, the table describes a function.
Yes