Unit 4 Functions Review

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 x-intercept of a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, meaning the output (y-value) is zero.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, meaning the input (x-value) is zero.

Front

Define the domain of a function.

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the complete set of possible values of the dependent variable (y) that the function can produce.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the elements of the domain and the elements of the range of a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

How do you find the x-intercept algebraically?

Back

To find the x-intercept, set the output (y) of the function to zero and solve for the input (x).

Front

How do you find the y-intercept algebraically?

Back

To find the y-intercept, set the input (x) of the function to zero and solve for the output (y).

Front

What is the notation for domain and range?

Back

Domain is often denoted as D(f) and range as R(f) for a function f.