UK Secondary (7-11)

Identifying One-to-One Functions

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

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