Master function notation with step-by-step practice problems. Learn f(x) notation, function naming conventions, and variable dependencies through guided exercises.
It is customary to symbolize a function using letters from the Latin alphabet when the two most common notations are:
(Of course, similar notations can also be used).
The - inside parentheses expresses that it is an independent variable of the function and the function's dependency ( or ) on it. ,,
Which of the following equations corresponds to the function represented in the graph?
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 observe 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.
Answer:
Yes
Determine whether the data in the following table represent a constant 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 observe that there is a constant change in X values, meaning an increase of 1, and a non-constant change in Y values - sometimes increasing by 1 and sometimes by 4
Therefore, according to the rule, the table does not describe a function
Answer:
No
Determine whether the following table represents a constant function:
It is important to remember that a constant function describes a situation where, as the X value increases, the Y value remains constant.
In the table, we can see that there is a constant change in the X values, specifically an increase of 2, while the Y value remains constant.
Therefore, the table does indeed describe a constant function.
Answer:
Yes, it does
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.
Answer:
No
Determine whether the given graph is 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.
Answer:
Yes