Question

Yoshi draws a vertical line on

the graph of a relation. His vertical line
intersects only 1 point of the graph.
He determines that the relation is also
a function. Assess Yoshi's conclusion
and explain why it is or is not necessarily
correct.

Answer 1

Yoshi's conclusion is correct.

Explanation:

Yoshi draws a vertical line on the graph of a relation. His vertical line intersects only 1 point of the graph.

Therefore, for a specific value of the independent variable, there is only one corresponding value of the dependent variable.

If the vertical line (any vertical line) on the coordinate plane intersects the graph of a relation at more than one point, then the relationship can never be a function.

Therefore, Yoshi's conclusion is correct. (Answer)