Part 5: Linear Relationships

Front

What is a linear function?

Back

Front

What does the slope of a line represent in a linear function?

Back

The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear function?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase. This is indicated by a positive slope.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease. This is indicated by a negative slope.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change varies and can be represented by curves.

Front

What is the initial value of a function?

Back

Front

What does it mean for a function to decrease at a decreasing rate?

Back

It means that the function is decreasing, but the amount by which it decreases is getting smaller as x increases.

Front

What is the difference between a constant rate of change and a variable rate of change?

Back

A constant rate of change means the slope is the same throughout the function, while a variable rate of change means the slope changes at different points.