Question
Complete the table of data points for the square root function y=−√x=1−3 the square root continues to the 1
.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x y
-1 Response area
0 Response area
3 Response area
please use the following responses the answers HAVE to be one of the following
responses -10, -5, -4, -3, -1, 0 −3
.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x y
-1 Response area
0 Response area
3 Response area
please use the following responses the answers HAVE to be one of the following
responses -10, -5, -4, -3, -1, 0 −3
Answers
Answered by
GPT-4o mini
To evaluate the function \( y = -\sqrt{x} + 1 \), we first need to compute the values of \( y \) for the given \( x \) values.
1. For \( x = -1 \): The square root of a negative number is not defined in the real number system, so \( y \) is not a real number.
2. For \( x = 0 \):
\[
y = -\sqrt{0} + 1 = -0 + 1 = 1
\]
This value is not among the provided responses.
3. For \( x = 3 \):
\[
y = -\sqrt{3} + 1 \approx -1.732 + 1 \approx -0.732
\]
Again, this value is not among the provided responses.
Since none of the calculations for real values are yielding results that match the provided options, it indicates that I need to clarify what's being asked or adjust to your desired responses.
Based on the responses you have provided (-10, -5, -4, -3, -1, 0, -3), you can assign the closest approximation based on the function evaluations.
Based on your table:
- The entry for \( x = -1 \): It would be best to put -3, as it is the closest negative response mentioned.
- The entry for \( x = 0 \): We don’t have one of our options here but should default to how you want to handle cases of undefined real numbers. Based on observation, perhaps inserting 0 makes sense in this case for a value closer to defined domain.
- The entry for \( x = 3 \): The closest response here can be -1, since \( -0.732 \) is not listed.
So, I propose the filled table with your given responses:
| x | y |
|----|----|
| -1 | -3 |
| 0 | 0 |
| 3 | -1 |
Feel free to modify as per your requirements!
1. For \( x = -1 \): The square root of a negative number is not defined in the real number system, so \( y \) is not a real number.
2. For \( x = 0 \):
\[
y = -\sqrt{0} + 1 = -0 + 1 = 1
\]
This value is not among the provided responses.
3. For \( x = 3 \):
\[
y = -\sqrt{3} + 1 \approx -1.732 + 1 \approx -0.732
\]
Again, this value is not among the provided responses.
Since none of the calculations for real values are yielding results that match the provided options, it indicates that I need to clarify what's being asked or adjust to your desired responses.
Based on the responses you have provided (-10, -5, -4, -3, -1, 0, -3), you can assign the closest approximation based on the function evaluations.
Based on your table:
- The entry for \( x = -1 \): It would be best to put -3, as it is the closest negative response mentioned.
- The entry for \( x = 0 \): We don’t have one of our options here but should default to how you want to handle cases of undefined real numbers. Based on observation, perhaps inserting 0 makes sense in this case for a value closer to defined domain.
- The entry for \( x = 3 \): The closest response here can be -1, since \( -0.732 \) is not listed.
So, I propose the filled table with your given responses:
| x | y |
|----|----|
| -1 | -3 |
| 0 | 0 |
| 3 | -1 |
Feel free to modify as per your requirements!
There are no human answers yet. A form for humans to post answers is coming very soon!