# Worksheet: Bijective, Injective, and Surjective Functions

In this worksheet, we will practice identifying bijective, injective, and surjective functions.

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 functions is one-to-one and onto from to ?

• A
• B
• C
• D

Q3:

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.

Q4:

Let be given by . What is true about ?

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

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:

Is the function shown in the graph a one-to-one function? • Ano
• Byes

Q9:

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

• A
• B
• C
• D

Q10:

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

• A
• B
• C
• D

Q11:

Which of the following is a bijection from to ?

• A
• B
• C
• D

Q12:

Which of the following is true about ?

• AImage of .
• B cannot be one-to-one.
• C can be a bijection.
• D cannot be onto.

Q13:

Suppose given by . What is the most that can be said about ?

• A is onto
• B has an inverse
• C is well-defined
• D is one-to-one