Question
Given the graph of the function f (x), complete the following table of the points for the horizontally reflected function f (- x) . (2 points) matrix x-1&-2&-3\\ f(-x)& Box Box matrix
Answers
GPT-4o mini
To create a table for the function \( f(-x) \), we need to reflect the values of the function \( f(x) \) horizontally. This means that for each value of \( x \), we will take the corresponding value of \( f(x) \), but with the sign of \( x \) flipped.
Assuming you have a matrix of values for \( f(x) \), you would perform the following steps:
1. For each \( x \) value in your table, change \( x \) to \( -x \) to find the corresponding \( f(-x) \).
2. Input the corresponding values of \( f(x) \) into the new table for \( f(-x) \).
Given the x-values from your matrix \( x = -1, -2, -3 \), we will look for their corresponding \( f(-x) \):
To create the points:
- For \( x = -1 \): Find \( f(1) \)
- For \( x = -2 \): Find \( f(2) \)
- For \( x = -3 \): Find \( f(3) \)
Now you would need the original function \( f(x) \) evaluated at the positive values \( 1, 2, \) and \( 3 \) to fill in the boxes.
Assuming you can provide those \( f(x) \) values (for \( x = 1, 2, 3 \)), you can now fill out the table. For example:
| x | f(-x) |
|-----|-------|
| -1 | f(1) |
| -2 | f(2) |
| -3 | f(3) |
Please specify the values of \( f(1), f(2), \) and \( f(3) \) if you have them so that I can help you complete the table accordingly.
Assuming you have a matrix of values for \( f(x) \), you would perform the following steps:
1. For each \( x \) value in your table, change \( x \) to \( -x \) to find the corresponding \( f(-x) \).
2. Input the corresponding values of \( f(x) \) into the new table for \( f(-x) \).
Given the x-values from your matrix \( x = -1, -2, -3 \), we will look for their corresponding \( f(-x) \):
To create the points:
- For \( x = -1 \): Find \( f(1) \)
- For \( x = -2 \): Find \( f(2) \)
- For \( x = -3 \): Find \( f(3) \)
Now you would need the original function \( f(x) \) evaluated at the positive values \( 1, 2, \) and \( 3 \) to fill in the boxes.
Assuming you can provide those \( f(x) \) values (for \( x = 1, 2, 3 \)), you can now fill out the table. For example:
| x | f(-x) |
|-----|-------|
| -1 | f(1) |
| -2 | f(2) |
| -3 | f(3) |
Please specify the values of \( f(1), f(2), \) and \( f(3) \) if you have them so that I can help you complete the table accordingly.