Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

Is the mapping (1,2), (2,3), (3,4) a function?

Back

Yes, it is a function because each input has a unique output.

Front

Is the mapping (1,2), (1,3), (2,4) a function?

Back

No, it is not a function because the input '1' has two different outputs.

Front

What is the definition of a function in terms of inputs and outputs?

Back

A function has inputs and outputs where every input has only ONE output.

Front

Which of the following is a function? (2,3), (2,4), (3,5) or (1,2), (2,2), (3,3)?

Back

(1,2), (2,2), (3,3) is a function because each input has a unique output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the table of values: x: 1, 2, 3, 4; y: 2, 2, 3, 4 a function?

Back

Yes, it is a function because each x-value has a unique y-value.

Front

Is the table of values: x: 1, 2, 2, 3; y: 2, 3, 4, 5 a function?

Back

No, it is not a function because the x-value '2' has two different outputs.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x gives a unique output.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values.