An Introduction to Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

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

Front

What is the independent variable in a function?

Back

The independent variable is the input value of a function, often represented as 'x'.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output value of a function, often represented as 'y'.

Front

How do you write a function rule?

Back

A function rule is typically written in the form of an equation, such as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does f(x) represent?

Back

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

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

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input, represented as f(x) = c, where c is a constant.