Question
Functions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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 negative 5 comma 0 right parenthesis, left parenthesis 0 comma 5 right parenthesis, and left parenthesis 5 comma 0 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)
Remaining Attempts : 3
Skip to navigation
Answers
GPT-4o mini
To apply the vertical line test to the semicircle described in your question, you can visualize or imagine drawing vertical lines through the graph.
In the case of a semicircle, if you draw any vertical line, it will intersect the semicircle at most at one point for every x-coordinate value in the interval. Since the semicircle only passes through each x-coordinate once (either above or below the x-axis), this means that every vertical line will intersect the graph at most once.
Therefore, the vertical line test shows that this relation is a function.
So, you should enter **1** for the answer.
In the case of a semicircle, if you draw any vertical line, it will intersect the semicircle at most at one point for every x-coordinate value in the interval. Since the semicircle only passes through each x-coordinate once (either above or below the x-axis), this means that every vertical line will intersect the graph at most once.
Therefore, the vertical line test shows that this relation is a function.
So, you should enter **1** for the answer.