VERTICAL LINE TEST FOR FUNCTIONS

Vertical line test is the process of checking whether the given graph represents the function or not.

Check the following relations are function :

Problem 1:

Solution :

The vertical line is intersecting the graph at once. So, it is the function.

Problem 2 :

Solution :

The vertical line will intersecting the graph at once. So, it is a function

Problem 3 :

Solution :

While drawing a vertical line, that will intersect this circle at most two points. Since the vertical line is intersecting the graph more than one point, we say that this relation is not a function.

Problem 4 :

Solution :

A vertical line which is drawn in the coordinate plane will intersect the graph once maximum. Then it is the function.

Problem 5 :

Solution :

The vertical line will intersect the graph once, so  it is a function.

Problem 6 :

Solution :

The vertical line will intersect the graph once, so  it is a function.

Problem 7 :

Solution :

The vertical line will intersect the graph once, so  it is a function.

Problem 8 :

Solution :

The vertical line will not intersect the graph once, so  it is not  a function.

Problem 9 :

Solution :

The vertical line will intersect the graph once, so  it is a function.

Problem 10 :

Solution :

The vertical line will intersect the graph once, so  it is a function.