One-to-One Functions

Front

What is a relation where every input matches with exactly one output?

Back

Function

Front

Is the set of ordered pairs {(1,2), (2,3), (3,4)} a function?

Back

Yes

Front

Which of the following sets is a function? (1,2) (1,3) (2,4), (2,3) (3,4) (4,5), (5,6) (6,7) (7,8), (8,9) (9,10) (10,11)

Back

(5,6) (6,7) (7,8)

Front

Do the points {(1,2), (2,3), (3,4), (4,5)} show a one-to-one function?

Back

Yes

Front

For a function to be one-to-one, what must be true about the outputs?

Back

For every y, there must be one x.

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input.

Front

If f(x) = 2x + 3, is f a one-to-one function?

Back

Yes, because it passes the horizontal line test.

Front

What is the horizontal line test?

Back

A test to determine if a function is one-to-one by checking if any horizontal line intersects the graph more than once.

Front

Can a function have the same output for different inputs?

Back

No, that would violate the definition of a function.

Front

What is the definition of a function?

Back

A relation that assigns exactly one output for each input.