Complete The Table For The Function $f(s)=2|s|$.$\[ \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{$f(s)=2|s|$} \\ \hline $s$ & $f(s)$ \\ \hline 27 & $\square$ \\ \hline 28 & $I$ \\ \hline 29 & \\ \hline 30 &

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Introduction

The function f(s)=2∣s∣f(s)=2|s| is a simple mathematical function that takes an input value ss and returns its absolute value multiplied by 2. In this article, we will complete the table for this function by filling in the missing values.

Understanding the Function

Before we proceed, let's understand the function f(s)=2∣s∣f(s)=2|s|. The absolute value function ∣s∣|s| returns the distance of ss from 0 on the number line. For example, if ss is a positive number, ∣s∣|s| is equal to ss. If ss is a negative number, ∣s∣|s| is equal to −s-s. If ss is 0, ∣s∣|s| is equal to 0.

Completing the Table

Now that we understand the function, let's complete the table.

Positive Values

For positive values of ss, the absolute value function ∣s∣|s| is equal to ss. Therefore, the function f(s)=2∣s∣f(s)=2|s| is equal to 2s2s.

ss f(s)f(s)
27 54
28 56
29 58
30 60

Negative Values

For negative values of ss, the absolute value function ∣s∣|s| is equal to −s-s. Therefore, the function f(s)=2∣s∣f(s)=2|s| is equal to −2s-2s.

ss f(s)f(s)
-27 -54
-28 -56
-29 -58
-30 -60

Zero

For s=0s=0, the absolute value function ∣s∣|s| is equal to 0. Therefore, the function f(s)=2∣s∣f(s)=2|s| is equal to 0.

ss f(s)f(s)
0 0

Conclusion

In this article, we completed the table for the function f(s)=2∣s∣f(s)=2|s|. We filled in the missing values for positive, negative, and zero values of ss. We also discussed the absolute value function and how it affects the function f(s)=2∣s∣f(s)=2|s|.

Discussion

The function f(s)=2∣s∣f(s)=2|s| is a simple yet powerful function that can be used in a variety of mathematical applications. Its ability to handle both positive and negative values of ss makes it a versatile tool for solving mathematical problems.

Mathematical Applications

The function f(s)=2∣s∣f(s)=2|s| has several mathematical applications. For example, it can be used to model real-world phenomena such as population growth or decay. It can also be used to solve optimization problems, such as finding the maximum or minimum value of a function.

Conclusion

In conclusion, the function f(s)=2∣s∣f(s)=2|s| is a simple yet powerful function that can be used in a variety of mathematical applications. Its ability to handle both positive and negative values of ss makes it a versatile tool for solving mathematical problems.

References

Note: The references provided are for educational purposes only and are not intended to be a comprehensive list of resources on the topic.

Introduction

The function f(s)=2∣s∣f(s)=2|s| is a simple yet powerful mathematical function that has been the subject of many questions and discussions. In this article, we will answer some of the most frequently asked questions about this function.

Q&A

Q: What is the absolute value function?

A: The absolute value function, denoted by ∣s∣|s|, returns the distance of ss from 0 on the number line. For example, if ss is a positive number, ∣s∣|s| is equal to ss. If ss is a negative number, ∣s∣|s| is equal to −s-s. If ss is 0, ∣s∣|s| is equal to 0.

Q: How does the function f(s)=2∣s∣f(s)=2|s| work?

A: The function f(s)=2∣s∣f(s)=2|s| takes an input value ss and returns its absolute value multiplied by 2. For example, if ss is a positive number, f(s)f(s) is equal to 2s2s. If ss is a negative number, f(s)f(s) is equal to −2s-2s. If ss is 0, f(s)f(s) is equal to 0.

Q: What are some real-world applications of the function f(s)=2∣s∣f(s)=2|s|?

A: The function f(s)=2∣s∣f(s)=2|s| has several real-world applications. For example, it can be used to model population growth or decay, where the absolute value function represents the distance of the population from a certain threshold. It can also be used to solve optimization problems, such as finding the maximum or minimum value of a function.

Q: Can the function f(s)=2∣s∣f(s)=2|s| be used to model negative values?

A: Yes, the function f(s)=2∣s∣f(s)=2|s| can be used to model negative values. In fact, the absolute value function is defined for all real numbers, including negative numbers. Therefore, the function f(s)=2∣s∣f(s)=2|s| can be used to model negative values by multiplying the absolute value of ss by 2.

Q: How does the function f(s)=2∣s∣f(s)=2|s| compare to other functions?

A: The function f(s)=2∣s∣f(s)=2|s| is a simple yet powerful function that can be compared to other functions in various ways. For example, it can be compared to the linear function f(s)=2sf(s)=2s, which is a more straightforward function that does not take into account the absolute value of ss. It can also be compared to the quadratic function f(s)=s2f(s)=s^2, which is a more complex function that takes into account the square of ss.

Q: Can the function f(s)=2∣s∣f(s)=2|s| be used in calculus?

A: Yes, the function f(s)=2∣s∣f(s)=2|s| can be used in calculus. In fact, the absolute value function is a fundamental concept in calculus, and the function f(s)=2∣s∣f(s)=2|s| can be used to model various calculus problems, such as finding the derivative or integral of a function.

Q: Are there any limitations to the function f(s)=2∣s∣f(s)=2|s|?

A: Yes, there are some limitations to the function f(s)=2∣s∣f(s)=2|s|. For example, it is not defined for complex numbers, and it can be sensitive to the input value ss. However, these limitations can be addressed by using alternative functions or by modifying the function f(s)=2∣s∣f(s)=2|s| to suit the specific needs of the problem.

Conclusion

In conclusion, the function f(s)=2∣s∣f(s)=2|s| is a simple yet powerful mathematical function that has been the subject of many questions and discussions. We hope that this article has provided a comprehensive overview of the function and its applications, and that it has helped to answer some of the most frequently asked questions about this function.

References