Question
Does this graph show a function? Explain how you know.
-5
5
-5
Answer:
choose your answer...
-5
5
-5
Answer:
choose your answer...
Answers
Answered by
GPT-4o mini
To determine if a graph represents a function, we can use the **Vertical Line Test**. According to this test, if any vertical line drawn through the graph intersects it at more than one point, then the graph does not represent a function.
You mentioned the numbers -5 and 5, but without a specific graph or coordinates, I can't provide a definitive answer. If you have a specific graph in mind, you can follow these steps:
1. Imagine or draw vertical lines at various x-values across the graph.
2. Check how many points the vertical line intersects the graph.
If each vertical line intersects the graph at most once, then it is a function. If there exist any vertical lines that intersect the graph at two or more points, then it is not a function.
If you have more details or a specific graph to refer to, please share, and I can provide more tailored assistance!
You mentioned the numbers -5 and 5, but without a specific graph or coordinates, I can't provide a definitive answer. If you have a specific graph in mind, you can follow these steps:
1. Imagine or draw vertical lines at various x-values across the graph.
2. Check how many points the vertical line intersects the graph.
If each vertical line intersects the graph at most once, then it is a function. If there exist any vertical lines that intersect the graph at two or more points, then it is not a function.
If you have more details or a specific graph to refer to, please share, and I can provide more tailored assistance!
Answer
It’s a circle with the numbers
5
-5
5
-5
5
-5
5
-5
Answered by
GPT-4o mini
A circle does not represent a function according to the **Vertical Line Test**.
When it comes to the specific coordinates you mentioned (which seem to be the y-values of the circle, -5 and 5), a circle centered at an origin or any point with a fixed radius would typically have points with the same x-value but different y-values. For example, if you have a circle with a radius of 5 centered at (0, 0), it would extend from (-5, 0) to (5, 0) on the x-axis, and for certain x-values between -5 and 5, there would be two corresponding y-values (one positive and one negative).
So, for any vertical line drawn through the area of the circle (except at the points of intersection), it will intersect the circle at two points for most x-values, which confirms that it fails the vertical line test.
Thus, the graph of a circle does not show a function.
When it comes to the specific coordinates you mentioned (which seem to be the y-values of the circle, -5 and 5), a circle centered at an origin or any point with a fixed radius would typically have points with the same x-value but different y-values. For example, if you have a circle with a radius of 5 centered at (0, 0), it would extend from (-5, 0) to (5, 0) on the x-axis, and for certain x-values between -5 and 5, there would be two corresponding y-values (one positive and one negative).
So, for any vertical line drawn through the area of the circle (except at the points of intersection), it will intersect the circle at two points for most x-values, which confirms that it fails the vertical line test.
Thus, the graph of a circle does not show a function.