Functions

Front

What is a function?

Back

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

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify if the following is a function: {(1,2), (2,3), (1,4)}

Back

Not a Function, because the input 1 has two outputs (2 and 4).

Front

Identify if the following is a function: {(3,5), (4,5), (5,5)}

Back

Function, because each input has only one output.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the domain?

Back

D: {0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the range?

Back

R: {1, -3, -4}.

Front

Is the following mapping a function? {(2,3), (3,4), (2,5)}

Back

Not a Function, because the input 2 has two outputs (3 and 5).

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.