MATH SOLVE

3 months ago

Q:
# Cody looked at this graph of a circle. He drew the two vertical lines and said, “The graph is a function because these vertical lines do not intersect the graph more than once.”Which is the best explanation of why Cody’s reasoning is incorrect? A. A graph is a function if there are no vertical lines that intersect it. Therefore, Cody’s line on the left shows that this graph is not a function. B. A graph is not a function if you can draw a vertical line that does not intersect the graph. Therefore, Cody’s line on the right shows that this graph is not a function. C. A graph is not a function if any vertical line intersects it more than once. Cody’s lines do not intersect the graph more than once, but other vertical lines do. Therefore, this graph is not a function. D. A graph is not a function if more than one vertical line intersects the graph. Only one of Cody’s lines intersects the graph, but there are other vertical lines that do. Therefore, this graph is not a function.

Accepted Solution

A:

Hence, Statement C is best explanation for Cody's reasonWhat is a Graph?The graph is a function because these vertical lines do not intersect the graph more than once. How to solve ?In the given Graph take any random line , but as it is a circle so it will have 2 values for example take x= 0 , it will have 2 different values , but if we take any function every x has it's unique y value . A. A graph is a function if there are no vertical lines that intersect it. Therefore, Cody’s line on the left shows that this graph is not a function.(Incomplete statement)B. A graph is not a function if you can draw a vertical line that does not intersect the graph. Therefore, Cody’s line on the right shows that this graph is not a function. (incomplete statement)C. A graph is not a function if any vertical line intersects it more than once. Cody’s lines do not intersect the graph more than once, but other vertical lines do. Therefore, this graph is not a function.(complete statement)D. A graph is not a function if more than one vertical line intersects the graph. Only one of Cody’s lines intersects the graph, but there are other vertical lines that do. Therefore, this graph is not a function.(incomplete statement)Hence, Statement C is best explanation for Cody's reason Learn more about functions and graphs