Functions!

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 result from using the function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you find f(-4) for the function f(x) = 5x - 12?

Back

To find f(-4), substitute -4 for x: f(-4) = 5(-4) - 12 = -20 - 12 = -32.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that can be used in the function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

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

Back

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

Front

What is the output of a function?

Back

The output of a function is the value that results from applying the function to an input.