 New Zealand
Level 7 - NCEA Level 2

Identifying One-to-One Functions

Interactive practice questions

Consider the following.

a

Select all the correct options that complete the following statement.

A one-to-one function is a function in which:

No ordered pairs have the same $y$y coordinate.

A

For every value of $y$y, there is only one value of $x$x.

B

The axis of symmetry is the $y$y-axis.

C

A horizontal line intersects the graph in no more than one place.

D

No ordered pairs have the same $y$y coordinate.

A

For every value of $y$y, there is only one value of $x$x.

B

The axis of symmetry is the $y$y-axis.

C

A horizontal line intersects the graph in no more than one place.

D
b

Does the graph of a horizontal line represent a function?

Yes

A

No

B

Yes

A

No

B
c

Is a horizontal line a one-to-one function?

No, as it does not pass the vertical line test.

A

Yes, as it passes the horizontal line test.

B

No, as it does not pass the horizontal line test.

C

Yes, as it passes the vertical line test.

D

No, as it does not pass the vertical line test.

A

Yes, as it passes the horizontal line test.

B

No, as it does not pass the horizontal line test.

C

Yes, as it passes the vertical line test.

D
Easy
Approx 2 minutes

Is the following a graph of a one-to-one function?

Is the following a graph of a one-to-one function?

Is the following a graph of a one-to-one function?

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems