2.2 Functions Practice

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

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

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Front

Is the following set a function? (9, -2) (9, 3) (8, 10) (-4, 8)

Back

Not a Function, because the input 9 has two different outputs.

Front

What does it mean for a relation to be a function?

Back

It means that for every input, there is only one corresponding output.

Front

Is this graph a function or not a function? (Graph showing a vertical line)

Back

Not a Function, because a vertical line intersects the graph at more than one point.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph at more than one point, it is not a function.

Front

If a function has an input of 3 and an output of 7, what is the ordered pair?

Back

(3, 7) is the ordered pair representing the input and output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.