Relations and Functions Domain Range One to One Onto

A collection of ordered pairs in which the first element is related to the second element.

• Function

• Relation

• Domain

• Range

Which of the following is TRUE?

• All relations are function.

• Vertical line can intersect the graph of a function by at most 2 points.

• All functions are relation.

• Among the 3 types of function, 2 of them are relations.

Is every relation a function ?

• yes

• no

• maybe

• always

The range of the relation is

• {-2, -2, 0, 1, 3}

• {1, 3, -3, 4, 1}

• {-2, 0, 1, 3}

• {-3, 1, 3, 4}

Which of the following relations is a function?

• <(0, 0), (0, 1), (1, 2)>

• <(0, 0}, (1, 2), (2, 3)>

• <(3, 1), (4, 1), (3, 2)>

• <(1, 1), (1, 2), (1, 3)>

Here f(x) is

• Function but not the relation

• Relation but not the function

• Function & relation

• Neither function nor relation

It is not a function because

• -2 has two images 1 and 3

• 1 is the image of -2 and 3

• it is a function, as all x has image in y

• images are not one to one

The range of the function is

• {-1, 1, 7, 5}

• {1, 49, 25}

• {-1, 1, 5, 7, 25, 49}

• it is not a function

Name the type of function

• One - one

• Onto

• Bijective

• It is not a function

If codomain and range are same for a function f from A to B then the function is

• One-one

• Many one

• Onto

• Bijective