Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if no vertical line intersects the graph at more than one point.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form f(x) = mx + b.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph to a straight line, while nonlinear functions do not.

Front

Evaluate f(1) if f(x) = 2x + 1.

Back

f(1) = 3.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line crosses the curve more than once.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2.

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 the function.

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.