Front

What is the difference between discrete and continuous data?

Back

Discrete data consists of distinct, separate values (e.g., counts), while continuous data can take any value within a range (e.g., measurements).

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing when the values of the function rise as the input values increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the values of the function fall as the input values increase.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, and its rate of change varies.

Front

How can you identify a linear function from its graph?

Back

A linear function can be identified by its straight line graph and constant slope.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function can be identified by its curved graph or any graph that is not a straight line.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; a positive slope means the function is increasing, while a negative slope means it is decreasing.

Front

What are some common examples of nonlinear functions?

Back

Common examples include quadratic functions (e.g., parabolas), exponential functions, and trigonometric functions.

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.