Functions, Functions, Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are all of the x values or inputs called?

Back

Domain.

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

No, because the x-value 11 has two y-values paired with it.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {0, 1, 2, -4}; Range: {1, -3, -4}.

Front

Is this graph a function or not a function?

Back

Not a Function.

Front

What is the range of a function?

Back

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

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values (x-values), while range refers to the set of all possible output values (y-values).

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function means that each output value is paired with exactly one input value.

Front

What is a vertical line test?

Back

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

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is exactly one y.