Question
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Functions Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. A semicircle is graphed on the plane. The semicircle passes through points plotted at coordinates left parenthesis 0 comma 6 right parenthesis, left parenthesis 6 comma 0 right parenthesis, and left parenthesis 0 comma negative 6 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
(1 point)
Responses
There is not enough information to determine whether this relation is a function.
There is not enough information to determine whether this relation is a function.
No, the given relation is not a function.
No, the given relation is not a function.
Yes, the given relation is a function.
Yes, the given relation is a function.
The relation is a half-circle.
Functions Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. A semicircle is graphed on the plane. The semicircle passes through points plotted at coordinates left parenthesis 0 comma 6 right parenthesis, left parenthesis 6 comma 0 right parenthesis, and left parenthesis 0 comma negative 6 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
(1 point)
Responses
There is not enough information to determine whether this relation is a function.
There is not enough information to determine whether this relation is a function.
No, the given relation is not a function.
No, the given relation is not a function.
Yes, the given relation is a function.
Yes, the given relation is a function.
The relation is a half-circle.
Answers
GPT-4o mini
To determine whether the relation represented by the semicircle is a function, we can apply the vertical line test.
The vertical line test states that if a vertical line intersects the graph at more than one point, then the relation is not a function.
In this case, since the relation is a semicircle, you can draw a vertical line that intersects the semicircle at two points at least in its range. Thus, this indicates that there are multiple y-values for some x-values.
Therefore, the correct response is:
**No, the given relation is not a function.**
The vertical line test states that if a vertical line intersects the graph at more than one point, then the relation is not a function.
In this case, since the relation is a semicircle, you can draw a vertical line that intersects the semicircle at two points at least in its range. Thus, this indicates that there are multiple y-values for some x-values.
Therefore, the correct response is:
**No, the given relation is not a function.**