SOLUTION: Explain why the vertical line test is used to determine if a graph represents a function?

Question 379387: Explain why the vertical line test is used to determine if a graph represents a function?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
A relation is considered a function if every x-value maps to at most one y-value. For example, the equation y = sin(x) is a function, but x^2 + y^2 = 1 is not, since a vertical line at x equals, say, 0, would pass through two of the points. For a relation to be a function, any vertical line drawn must not cross more than one point on the domain/range.
RELATED QUESTIONS
which statement could be used to explain why f(x) = 2x-3 has an inverse relation that is... (answered by Boreal)

A) Use the vertical ling test to determine whether the equation x=y^2-1 represents y as a (answered by user_dude2008)

use the vertical line test to determine if the relation(-6,-2), (-2,6),(0,3),(3,5) is a... (answered by stanbon)

Explain the "Vertical Rule" why it works in finding out if a graph or a rule is a... (answered by josgarithmetic)

what iwll i use to determine a graph is a function a.ruler b.a formula c.changes in the... (answered by JBarnum)

Explain why the vetical line test can determine if a relation is a function or not. Does... (answered by josgarithmetic)

Explain why the line x = 4 is a vertical... (answered by Alan3354,Edwin McCravy,gonzo)

Explain why the line x = 4 is a vertical... (answered by stanbon)

Explain why the line x=4 is a vertical... (answered by LtAurora)