https://file.aiquickdraw.com/mathbot/file/1730146439211e69o5l82.jpg

The problem states that the output \( y \) is "2 less than 4 times \( x \)." This can be written as the function:

\[
y = 4x - 2
\]

Using this function, let's calculate \( y \) for each input \( x \) in the table:

1. **For \( x = -1 \):**
   \[
   y = 4(-1) - 2 = -4 - 2 = -6
   \]

2. **For \( x = 0 \):**
   \[
   y = 4(0) - 2 = 0 - 2 = -2
   \]

3. **For \( x = 1 \):**
   \[
   y = 4(1) - 2 = 4 - 2 = 2
   \]

4. **For \( x = 2 \):**
   \[
   y = 4(2) - 2 = 8 - 2 = 6
   \]

Now, we can complete the table:

\[
\begin{array}{|c|c|}
\hline
\text{Input } (x) & \text{Output } (y) \\
\hline
-1 & -6 \\
0 & -2 \\
1 & 2 \\
2 & 6 \\
\hline
\end{array}
\]

Would you like further details on how the function rule works, or have any questions?

Here are some related questions to deepen your understanding:
1. What would the output be if \( x = 3 \)?
2. How would the function change if it was "3 less than 5 times \( x \)"?
3. Can you identify the slope and y-intercept of the function \( y = 4x - 2 \)?
4. How does the output change as \( x \) increases by 1?
5. What if the function rule was instead "4 times \( x \) less 2"?

**Tip:** When working with function rules, always substitute the given input values carefully to calculate the output accurately.

Use the function rule to complete the table. The output (y) is 2 less than 4 times the input (x).

Learn how to use the function rule y = 4x - 2 to complete a table of values. This problem involves calculating outputs for various inputs, covering algebraic concepts of functions and linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation