# Lesson Worksheet: Injective Functions Mathematics

In this worksheet, we will practice determining whether a function is a one-to-one function (injective).

Q1:

Which curve among those shown in the graph below is a one-to-one function? • Athe red one
• Bthe orange one
• Cthe blue one
• Dthe green one

Q2:

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

• A
• B
• C
• D

Q3:

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

• A
• B
• C
• D

Q4:

Is the function shown in the graph a one-to-one function? • ANo
• BYes

Q5:

Is the function shown in the graph a one-to-one function? • AYes
• BNo

Q6:

Is the function shown in the graph a one-to-one function? • AYes
• BNo

Q7:

Is the function shown in the graph a one-to-one function? • AYes
• BNo

Q8:

Which of the following is true about a one-to-one function?

• AIt does not have an inverse.
• BIt is always increasing or decreasing.
• CIt has an inverse.
• DIt is its own inverse.

Q9:

Let be given by . What is true about ?

• A is a bijection.
• B is not defined.
• C is onto.
• D is one-to-one.

Q10:

Determine whether is a one-to-one function in each of the following cases.

Case 1:

• AYes
• BNo

Case 2:

• ANo
• BYes

This lesson includes 27 additional questions and 154 additional question variations for subscribers.