Select The Correct Answer From Each Drop-down Menu.The Function { F $}$ Is Given By The Table Of Values As Shown Below. \[ \begin{tabular}{|c|c|c|c|c|c|} \hline X$ & 1 & 2 & 3 & 4 & 5 \ \hline F ( X ) F(x) F ( X ) & 13 & 19 & 37 & 91 & 253

Introduction

In mathematics, functions are used to describe the relationship between variables. A function is a rule that assigns to each input value, or element, in a set called the domain, a unique output value, or element, in a set called the range. In this article, we will explore a given function { f $}$ and use a table of values to determine the correct answer from each drop-down menu.

The Function Table of Values

The function { f $}$ is given by the table of values as shown below.

$x$	1	2	3	4	5
$f(x)$	13	19	37	91	253

Analyzing the Function

To understand the function, we need to analyze the given table of values. We can see that the function takes an input value $x$ and returns an output value $f(x)$. The table shows the values of $x$ and the corresponding values of $f(x)$.

Determining the Correct Answer

To determine the correct answer from each drop-down menu, we need to analyze the function and its behavior. We can see that the function is increasing as $x$ increases. This means that as the input value $x$ increases, the output value $f(x)$ also increases.

Question 1: What is the value of $f(2)$?

From the table of values, we can see that the value of $f(2)$ is 19.

Question 2: What is the value of $f(4)$?

From the table of values, we can see that the value of $f(4)$ is 91.

Question 3: What is the value of $f(5)$?

From the table of values, we can see that the value of $f(5)$ is 253.

Question 4: What is the value of $f(1)$?

From the table of values, we can see that the value of $f(1)$ is 13.

Question 5: What is the value of $f(3)$?

From the table of values, we can see that the value of $f(3)$ is 37.

Conclusion

In conclusion, we have analyzed the function { f $}$ and used the table of values to determine the correct answer from each drop-down menu. We have seen that the function is increasing as $x$ increases and have determined the values of $f(2)$, $f(4)$, $f(5)$, $f(1)$, and $f(3)$.

Understanding the Function and Selecting the Correct Answer: Key Takeaways

• The function { f $}$ is given by the table of values as shown below.
• The function takes an input value $x$ and returns an output value $f(x)$.
• The function is increasing as $x$ increases.
• The values of $f(2)$, $f(4)$, $f(5)$, $f(1)$, and $f(3)$ are 19, 91, 253, 13, and 37, respectively.

Frequently Asked Questions

Q: What is the function { f $}$?

A: The function { f $}$ is given by the table of values as shown below.

Q: What is the value of $f(2)$?

A: The value of $f(2)$ is 19.

Q: What is the value of $f(4)$?

A: The value of $f(4)$ is 91.

Q: What is the value of $f(5)$?

A: The value of $f(5)$ is 253.

Q: What is the value of $f(1)$?

A: The value of $f(1)$ is 13.

Q: What is the value of $f(3)$?

A: The value of $f(3)$ is 37.

References

• [1] Khan Academy. (n.d.). Functions. Retrieved from <https://www.khanacademy.org/math/algebra/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f1f1c/x2f
  Q&A: Understanding the Function and Selecting the Correct Answer ====================================================================

Q: What is the function { f $}$ and how is it represented?

A: The function { f $}$ is given by the table of values as shown below.

$x$	1	2	3	4	5
$f(x)$	13	19	37	91	253

Q: What is the value of $f(2)$?

A: The value of $f(2)$ is 19.

Q: What is the value of $f(4)$?

A: The value of $f(4)$ is 91.

Q: What is the value of $f(5)$?

A: The value of $f(5)$ is 253.

Q: What is the value of $f(1)$?

A: The value of $f(1)$ is 13.

Q: What is the value of $f(3)$?

A: The value of $f(3)$ is 37.

Q: Is the function { f $}$ increasing or decreasing?

A: The function { f $}$ is increasing as $x$ increases.

Q: How can we determine the correct answer from each drop-down menu?

A: We can determine the correct answer from each drop-down menu by analyzing the function and its behavior. We can see that the function is increasing as $x$ increases, and we can use the table of values to determine the correct answer.

Q: What is the significance of the table of values in understanding the function?

A: The table of values is a crucial tool in understanding the function. It provides a clear and concise representation of the function's behavior and allows us to determine the correct answer from each drop-down menu.

Q: Can we use the function { f $}$ to make predictions about the value of $f(x)$ for other values of $x$?

A: Yes, we can use the function { f $}$ to make predictions about the value of $f(x)$ for other values of $x$. By analyzing the function's behavior and using the table of values, we can make informed predictions about the value of $f(x)$ for other values of $x$.

Q: How can we use the function { f $}$ in real-world applications?

A: The function { f $}$ can be used in a variety of real-world applications, such as modeling population growth, predicting stock prices, and analyzing data. By understanding the function's behavior and using the table of values, we can make informed decisions and predictions about complex systems.

Q: What are some common mistakes to avoid when working with functions?

A: Some common mistakes to avoid when working with functions include:

• Not analyzing the function's behavior and using the table of values to determine the correct answer.
• Not considering the domain and range of the function.
• Not using the function to make predictions about the value of $f(x)$ for other values of $x$.
• Not considering the real-world applications of the function.

Q: How can we improve our understanding of functions and their behavior?

A: We can improve our understanding of functions and their behavior by:

• Analyzing the function's behavior and using the table of values to determine the correct answer.
• Considering the domain and range of the function.
• Using the function to make predictions about the value of $f(x)$ for other values of $x$.
• Considering the real-world applications of the function.
• Practicing and applying the concepts to real-world problems.

Conclusion

In conclusion, understanding the function and selecting the correct answer from each drop-down menu requires a clear and concise representation of the function's behavior. By analyzing the function's behavior and using the table of values, we can determine the correct answer and make informed predictions about the value of $f(x)$ for other values of $x$.