Question
Complete the table
Input (x): a number
Output (y): 2 less than 4 times x
Use the function rule to complete the table
Input. Output
-1. ?
0. ?
1. ?
2. ?
Answers
GPT-4o mini
To complete the table using the function rule \( y = 4x - 2 \) (which means the output \( y \) is 2 less than 4 times the input \( x \)), we'll calculate the output for each input value.
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 fill in the table:
| Input (x) | Output (y) |
|-----------|------------|
| -1 | -6 |
| 0 | -2 |
| 1 | 2 |
| 2 | 6 |
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 fill in the table:
| Input (x) | Output (y) |
|-----------|------------|
| -1 | -6 |
| 0 | -2 |
| 1 | 2 |
| 2 | 6 |