Functions and Relations

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

What is the vertical line test?

Back

The vertical line test is 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

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

Back

D: {-4, 0, 1, 2}.

Front

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

Back

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

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element of the domain is paired with an element in the range.

Front

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

Back

A graph is 'not a function' if there exists at least one input that corresponds to multiple outputs.

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.