Complete The Table.$\[ \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{$f(q)=|-q|$} \\ \hline $q$ & $f(q)$ \\ \hline 6 & $\square$ \\ \hline 7 & $\square$ \\ \hline 8 & $\square$ \\ \hline 9 & $\square$
Introduction
In mathematics, functions are a crucial concept that helps us describe the relationship between variables. A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range). In this article, we will explore the function f(q) = |-q| and complete the given table.
Understanding the Function f(q) = |-q|
The function f(q) = |-q| is a simple yet interesting function that involves absolute value. The absolute value of a number is its distance from zero on the number line, without considering direction. In other words, the absolute value of a number is always non-negative.
To understand this function, let's consider some examples. If q = 5, then |-q| = |-5| = 5. If q = -3, then |-q| = |-(-3)| = 3. As we can see, the function f(q) = |-q| always returns a non-negative value.
Completing the Table
Now that we have a good understanding of the function f(q) = |-q|, let's complete the given table.
| q | f(q) |
|---|---|
| 6 | |
| 7 | |
| 8 | |
| 9 |
To complete the table, we need to find the values of f(q) for q = 6, 7, 8, and 9.
For q = 6, we have f(6) = |-6| = 6.
For q = 7, we have f(7) = |-7| = 7.
For q = 8, we have f(8) = |-8| = 8.
For q = 9, we have f(9) = |-9| = 9.
The Completed Table
Here is the completed table:
| q | f(q) |
|---|---|
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
Conclusion
In this article, we explored the function f(q) = |-q| and completed the given table. We learned that the function always returns a non-negative value, and we used this understanding to complete the table. The completed table shows that the function f(q) = |-q| is a simple yet interesting function that can be used to model real-world phenomena.
Discussion
The function f(q) = |-q| has many applications in mathematics and other fields. For example, it can be used to model the distance between two points on a number line. It can also be used to model the absolute value of a quantity, which is an important concept in physics and engineering.
In conclusion, the function f(q) = |-q| is a simple yet powerful function that has many applications in mathematics and other fields. We hope that this article has helped you understand the function and complete the given table.
Frequently Asked Questions
- What is the function f(q) = |-q|? The function f(q) = |-q| is a simple function that involves absolute value. It always returns a non-negative value.
- How do I complete the table for the function f(q) = |-q|? To complete the table, you need to find the values of f(q) for q = 6, 7, 8, and 9. You can do this by substituting the values of q into the function f(q) = |-q|.
- What are some applications of the function f(q) = |-q|? The function f(q) = |-q| has many applications in mathematics and other fields, including modeling the distance between two points on a number line and modeling the absolute value of a quantity.
References
- [1] "Functions" by Khan Academy
- [2] "Absolute Value" by Math Is Fun
- [3] "Functions and Relations" by Wolfram MathWorld
Introduction
In our previous article, we explored the function f(q) = |-q| and completed the given table. In this article, we will answer some frequently asked questions about the function f(q) = |-q|.
Q&A
Q: What is the function f(q) = |-q|?
A: The function f(q) = |-q| is a simple function that involves absolute value. It always returns a non-negative value.
Q: How do I complete the table for the function f(q) = |-q|?
A: To complete the table, you need to find the values of f(q) for q = 6, 7, 8, and 9. You can do this by substituting the values of q into the function f(q) = |-q|.
Q: What are some applications of the function f(q) = |-q|?
A: The function f(q) = |-q| has many applications in mathematics and other fields, including modeling the distance between two points on a number line and modeling the absolute value of a quantity.
Q: Is the function f(q) = |-q| a linear function?
A: No, the function f(q) = |-q| is not a linear function. It is a non-linear function that involves absolute value.
Q: Can I use the function f(q) = |-q| to model real-world phenomena?
A: Yes, the function f(q) = |-q| can be used to model real-world phenomena, such as the distance between two points on a number line or the absolute value of a quantity.
Q: How do I graph the function f(q) = |-q|?
A: To graph the function f(q) = |-q|, you can use a graphing calculator or a computer algebra system. The graph of the function will be a V-shaped graph that opens upwards.
Q: Can I use the function f(q) = |-q| to solve equations?
A: Yes, the function f(q) = |-q| can be used to solve equations, such as equations involving absolute value.
Q: What is the domain of the function f(q) = |-q|?
A: The domain of the function f(q) = |-q| is all real numbers.
Q: What is the range of the function f(q) = |-q|?
A: The range of the function f(q) = |-q| is all non-negative real numbers.
Conclusion
In this article, we answered some frequently asked questions about the function f(q) = |-q|. We hope that this article has helped you understand the function and its applications.
Discussion
The function f(q) = |-q| is a simple yet powerful function that has many applications in mathematics and other fields. It can be used to model real-world phenomena, such as the distance between two points on a number line or the absolute value of a quantity.
In conclusion, the function f(q) = |-q| is a useful function that can be used to solve equations and model real-world phenomena. We hope that this article has helped you understand the function and its applications.
Frequently Asked Questions (FAQs)
- What is the function f(q) = |-q|?
- How do I complete the table for the function f(q) = |-q|?
- What are some applications of the function f(q) = |-q|?
- Is the function f(q) = |-q| a linear function?
- Can I use the function f(q) = |-q| to model real-world phenomena?
- How do I graph the function f(q) = |-q|?
- Can I use the function f(q) = |-q| to solve equations?
- What is the domain of the function f(q) = |-q|?
- What is the range of the function f(q) = |-q|?
References
- [1] "Functions" by Khan Academy
- [2] "Absolute Value" by Math Is Fun
- [3] "Functions and Relations" by Wolfram MathWorld