Question
Given circle P centered at the origin, with a radius of 4 units.
circle p is not a function
domain: -4 less than or equal to times less than or equal to 4
0->3
1->7
2->11
3->15
x^2+ y^2=16
choose all that apply
circle p is not a function
domain: -4 less than or equal to times less than or equal to 4
0->3
1->7
2->11
3->15
x^2+ y^2=16
choose all that apply
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To analyze the details you provided, let's break it down step by step:
1. **Circle P**: You've mentioned that circle P is centered at the origin (0, 0) with a radius of 4 units. The equation of this circle is \(x^2 + y^2 = 16\) (since \(4^2 = 16\)). This circle includes all points that are 4 units away from the origin.
2. **Domain**: You've stated the domain as \(-4 \leq x \leq 4\). This is correct for the horizontal extent of the circle since the circle stretches from -4 to 4 on the x-axis.
3. **Not a Function**: A circle is not a function because it does not pass the vertical line test; for many x-values, there are multiple corresponding y-values.
4. **Mapping Inputs to Outputs**: You've provided pairs:
- \(0 \to 3\)
- \(1 \to 7\)
- \(2 \to 11\)
- \(3 \to 15\)
These mappings suggest you are defining a relationship or function, but they do not seem to relate directly to circle P or its points because they're not constrained by the equation \(x^2 + y^2 = 16\).
5. **Understanding What to Choose**: You mention "choose all that apply," but there are no specific options provided. However, from the context, we can state that:
- The equation \(x^2 + y^2 = 16\) represents the circle.
- The statement that circle P is not a function is true.
- The domain provided matches the circle's x-values.
- The pairs you provided as mappings do not seem to fit within the context of circle P.
If you have a specific list of options or choices, feel free to provide them, and I can help you determine which of those apply!
1. **Circle P**: You've mentioned that circle P is centered at the origin (0, 0) with a radius of 4 units. The equation of this circle is \(x^2 + y^2 = 16\) (since \(4^2 = 16\)). This circle includes all points that are 4 units away from the origin.
2. **Domain**: You've stated the domain as \(-4 \leq x \leq 4\). This is correct for the horizontal extent of the circle since the circle stretches from -4 to 4 on the x-axis.
3. **Not a Function**: A circle is not a function because it does not pass the vertical line test; for many x-values, there are multiple corresponding y-values.
4. **Mapping Inputs to Outputs**: You've provided pairs:
- \(0 \to 3\)
- \(1 \to 7\)
- \(2 \to 11\)
- \(3 \to 15\)
These mappings suggest you are defining a relationship or function, but they do not seem to relate directly to circle P or its points because they're not constrained by the equation \(x^2 + y^2 = 16\).
5. **Understanding What to Choose**: You mention "choose all that apply," but there are no specific options provided. However, from the context, we can state that:
- The equation \(x^2 + y^2 = 16\) represents the circle.
- The statement that circle P is not a function is true.
- The domain provided matches the circle's x-values.
- The pairs you provided as mappings do not seem to fit within the context of circle P.
If you have a specific list of options or choices, feel free to provide them, and I can help you determine which of those apply!
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