Flashcard Unit 5 - OPTIONAL Possible Proficiency Level Adjustment

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It has a variable rate of change and can include curves, bends, or other shapes.

Front

How can you identify a linear function from its equation?

Back

You can identify a linear function if it can be written in the form y = mx + b, where m and b are constants.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when the value of y rises as the value of x increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when the value of y falls as the value of x increases.

Front

What is the significance of a horizontal line in a function?

Back

A horizontal line indicates that the function has a constant value for all x, meaning it does not increase or decrease.

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.