One-To-One Functions

It is a rule that produces a correspondence between the elements of two sets: domain and range, such that to each element in D there corresponds one and only one element in R.

• Function

• Relation

• Set

• Subset

A graph of a function can also be used to determine whether a function is one-to-one using the ___________

• vertical line test

• horizontal line test

• t - test

• z - test

A method of testing whether a graph represents a function by determining whether a vertical line intersects the graph no more than once.

• vertical line test

• horizontal line test

• t - test

• z - test

Which type of relation wherein every element in the domain is paired with exactly one element in the range?

• Function

• Asymptote

• Inverse

• Composite

Which of the following relationships DOES NOT indicate a one-to-one function?

• a tricycle and its plate number

• Chemical symbol to its chemical element

• Parents and their children

• Husband and wife

Which of the following represents a one-to-one function?

• Teacher to students

• Students to their LRN

• Mother to her children

• Students to teacher

Which of the following statement represent one-to-one function?

• One person has one passport

• A car model is made by one company

• A house building prototype belongs to one company

• All of the choices

Which of the following does not represent one-to-one function?

• Gas has one function when put in a car

• A house belongs to one person

• A washing machine has one function (to wash)

• An x-ray is associated with the one function of taking internal pictures

The input values make up the ______, and the output values make up the __________.

• Domain, horizontal line test

• Range, horizontal line test

• domain, range

• range, domain

The coffee shop menu, shown in figure above consists of items and their prices. Does the menu represent one-to-one function?

• Yes, because each item on the menu has only one price, so the price is a function of the item.

• Yes, because one item on the menu has only one price, so the price is a function of the item.

• No, because the two items on the menu have the same price

• No, because one item on the menu have the same price.