Consider The Function Represented By The Table.$\[ \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 0 & 6 \\ \hline 2 & 7 \\ \hline 4 & 0 \\ \hline 7 & 5 \\ \hline \end{tabular} \\]What Is $f(0)$?A. 4 B. 5 C. 6 D.
Introduction
In mathematics, a function is a relation between a set of inputs, called the domain, and a set of possible outputs, called the range. The function is often represented by a table, where the input values are listed in the first column and the corresponding output values are listed in the second column. In this article, we will consider the function represented by the given table and determine the value of .
The Function Table
The function table is given as:
| 0 | 6 |
| 2 | 7 |
| 4 | 0 |
| 7 | 5 |
Understanding the Table
From the table, we can see that the input values are and the corresponding output values are respectively. This means that when the input value is 0, the output value is 6, when the input value is 2, the output value is 7, and so on.
Determining the Value of
To determine the value of , we need to look at the table and find the row where the input value is 0. In this case, the row is:
| 0 | 6 |
From this row, we can see that the output value when the input value is 0 is 6. Therefore, the value of is 6.
Conclusion
In conclusion, the value of is 6. This is determined by looking at the function table and finding the row where the input value is 0. The output value in this row is 6, which is the value of .
Answer
The answer is C. 6.
Discussion
This problem is a simple example of how to determine the value of a function at a specific input value using a table. In mathematics, functions are used to describe relationships between variables, and tables are often used to represent these relationships. By understanding how to read and interpret tables, we can determine the value of a function at a specific input value.
Related Topics
- Functions
- Tables
- Input values
- Output values
- Domain
- Range
Further Reading
For further reading on functions and tables, we recommend the following resources:
- Functions
- Tables
- Input values
- Output values
- Domain
- Range
Q&A: Understanding Functions and Tables =============================================
Introduction
In our previous article, we discussed how to determine the value of a function at a specific input value using a table. In this article, we will answer some frequently asked questions about functions and tables.
Q: What is a function?
A: A function is a relation between a set of inputs, called the domain, and a set of possible outputs, called the range. It is often represented by a table, where the input values are listed in the first column and the corresponding output values are listed in the second column.
Q: What is a table in mathematics?
A: A table in mathematics is a way to represent a function, where the input values are listed in the first column and the corresponding output values are listed in the second column.
Q: How do I read a table?
A: To read a table, look at the first column, which represents the input values. Then, look at the second column, which represents the corresponding output values. For example, if the input value is 0, the output value is 6.
Q: What is the domain of a function?
A: The domain of a function is the set of all possible input values. It is the set of all values that can be plugged into the function.
Q: What is the range of a function?
A: The range of a function is the set of all possible output values. It is the set of all values that can be produced by the function.
Q: How do I determine the value of a function at a specific input value?
A: To determine the value of a function at a specific input value, look at the table and find the row where the input value is listed. Then, look at the corresponding output value in the second column.
Q: What if the input value is not listed in the table?
A: If the input value is not listed in the table, it means that the function is not defined at that input value. In other words, the function does not produce an output value for that input value.
Q: Can a function have multiple output values for the same input value?
A: No, a function cannot have multiple output values for the same input value. By definition, a function is a relation between a set of inputs and a set of outputs, where each input value corresponds to exactly one output value.
Q: Can a function have no output values for any input value?
A: Yes, a function can have no output values for any input value. This is called the empty function.
Conclusion
In conclusion, functions and tables are important concepts in mathematics. By understanding how to read and interpret tables, we can determine the value of a function at a specific input value. We hope that this Q&A article has helped to clarify any questions you may have had about functions and tables.
Related Topics
- Functions
- Tables
- Input values
- Output values
- Domain
- Range
- Empty function
Further Reading
For further reading on functions and tables, we recommend the following resources: