Fill In The Table By Calculating Values Of G ( X G(x G ( X ] For Each Corresponding Value Of X X X Using The Function J ( X ) = 0.75 X 2 J(x)=0.75x^2 J ( X ) = 0.75 X 2 . \[ \begin{tabular}{|l|l|} \hline X$ & G ( X ) G(x) G ( X ) \ \hline & \ \hline & \ \hline & \ \hline &

Calculating Values of $g(x)$ Using the Function $j(x)=0.75x^2$

In mathematics, functions play a crucial role in describing the relationship between variables. Given a function $j(x)$, we can calculate the value of $g(x)$ for each corresponding value of $x$ by using the function $j(x)=0.75x^2$. In this article, we will fill in the table by calculating the values of $g(x)$ for each corresponding value of $x$ using the function $j(x)=0.75x^2$.

Understanding the Function $j(x)=0.75x^2$

The function $j(x)=0.75x^2$ is a quadratic function, where $x$ is the input variable and $j(x)$ is the output variable. The coefficient of $x^2$ is 0.75, which means that the function is scaled by a factor of 0.75. This means that the function will produce values that are 0.75 times the square of the input value.

Calculating Values of $g(x)$

To calculate the values of $g(x)$ for each corresponding value of $x$, we need to plug in the values of $x$ into the function $j(x)=0.75x^2$. We will use the following values of $x$: 1, 2, 3, and 4.

Calculating $g(1)$

To calculate $g(1)$, we need to plug in $x=1$ into the function $j(x)=0.75x^2$. This gives us:

$$g(1) = j(1) = 0.75(1)^2 = 0.75$$

Calculating $g(2)$

To calculate $g(2)$, we need to plug in $x=2$ into the function $j(x)=0.75x^2$. This gives us:

$$g(2) = j(2) = 0.75(2)^2 = 3$$

Calculating $g(3)$

To calculate $g(3)$, we need to plug in $x=3$ into the function $j(x)=0.75x^2$. This gives us:

$$g(3) = j(3) = 0.75(3)^2 = 6.75$$

Calculating $g(4)$

To calculate $g(4)$, we need to plug in $x=4$ into the function $j(x)=0.75x^2$. This gives us:

$$g(4) = j(4) = 0.75(4)^2 = 12$$

Filling in the Table

Now that we have calculated the values of $g(x)$ for each corresponding value of $x$, we can fill in the table.

In this article, we calculated the values of $g(x)$ for each corresponding value of $x$ using the function $j(x)=0.75x^2$. We used the following values of $x$: 1, 2, 3, and 4. We then filled in the table with the calculated values of $g(x)$. This demonstrates how to use a function to calculate values for each corresponding value of the input variable.

The function $j(x)=0.75x^2$ is a quadratic function that scales the input value by a factor of 0.75. This means that the function will produce values that are 0.75 times the square of the input value. The values of $g(x)$ calculated in this article demonstrate how to use a function to calculate values for each corresponding value of the input variable.

In future work, we can explore other functions and calculate their values for each corresponding value of the input variable. We can also investigate how to use functions to model real-world phenomena and make predictions about future events.

• [1] "Functions" by Khan Academy
• [2] "Quadratic Functions" by Math Open Reference

The following is a list of the values of $g(x)$ calculated in this article:

Q&A: Calculating Values of $g(x)$ Using the Function $j(x)=0.75x^2$

In our previous article, we calculated the values of $g(x)$ for each corresponding value of $x$ using the function $j(x)=0.75x^2$. In this article, we will answer some frequently asked questions about calculating values of $g(x)$ using the function $j(x)=0.75x^2$.

Q: What is the function $j(x)=0.75x^2$?

A: The function $j(x)=0.75x^2$ is a quadratic function that scales the input value by a factor of 0.75. This means that the function will produce values that are 0.75 times the square of the input value.

Q: How do I calculate the values of $g(x)$ for each corresponding value of $x$?

A: To calculate the values of $g(x)$ for each corresponding value of $x$, you need to plug in the values of $x$ into the function $j(x)=0.75x^2$. For example, if you want to calculate $g(1)$, you need to plug in $x=1$ into the function $j(x)=0.75x^2$.

Q: What are the values of $g(x)$ for each corresponding value of $x$?

A: The values of $g(x)$ for each corresponding value of $x$ are:

Q: Can I use the function $j(x)=0.75x^2$ to model real-world phenomena?

A: Yes, you can use the function $j(x)=0.75x^2$ to model real-world phenomena. For example, you can use the function to model the relationship between the amount of money invested and the amount of money earned.

Q: How do I use the function $j(x)=0.75x^2$ to make predictions about future events?

A: To use the function $j(x)=0.75x^2$ to make predictions about future events, you need to plug in the values of $x$ into the function and calculate the corresponding values of $g(x)$. For example, if you want to predict the amount of money earned for a certain amount of money invested, you can plug in the value of $x$ into the function $j(x)=0.75x^2$ and calculate the corresponding value of $g(x)$.

Q: What are some common applications of the function $j(x)=0.75x^2$?

A: Some common applications of the function $j(x)=0.75x^2$ include:

• Modeling the relationship between the amount of money invested and the amount of money earned
• Predicting the amount of money earned for a certain amount of money invested
• Calculating the values of $g(x)$ for each corresponding value of $x$

In this article, we answered some frequently asked questions about calculating values of $g(x)$ using the function $j(x)=0.75x^2$. We hope that this article has been helpful in understanding how to use the function $j(x)=0.75x^2$ to calculate values of $g(x)$ for each corresponding value of $x$.

The function $j(x)=0.75x^2$ is a quadratic function that scales the input value by a factor of 0.75. This means that the function will produce values that are 0.75 times the square of the input value. The values of $g(x)$ calculated in this article demonstrate how to use a function to calculate values for each corresponding value of the input variable.

In future work, we can explore other functions and calculate their values for each corresponding value of the input variable. We can also investigate how to use functions to model real-world phenomena and make predictions about future events.

• [1] "Functions" by Khan Academy
• [2] "Quadratic Functions" by Math Open Reference

The following is a list of the values of $g(x)$ calculated in this article: