Key Features of Functions

Front

What are the x- and y-intercepts of a function?

Back

The x-intercepts are the points where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

How do you find the x-intercepts of a function?

Back

Set the function equal to zero and solve for x.

Front

How do you find the y-intercept of a function?

Back

Evaluate the function at x=0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is a continuous function?

Back

A continuous function is one where there are no breaks, holes, or jumps in the graph.

Front

What is a piecewise function?

Back

A piecewise function is defined by different expressions for different intervals of the domain.

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 f(x) = mx + b.