Analyzing Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 graph to a straight line, meaning the rate of change is not constant.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified by a graph that forms a straight line.

Front

What does the steepness of a graph indicate?

Back

The steepness of a graph indicates the rate of change of the function; steeper lines represent greater rates of change.

Front

What does it mean for an object to be standing still in a graph?

Back

An object is standing still in a graph when the line is horizontal, indicating no change in position over time.

Front

What does it mean for a graph to be steep?

Back

A steep graph indicates a rapid change in the value of the function, either increasing or decreasing quickly.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of the function when x = 0.

Front

How do you determine the time spent at a location from a distance-time graph?

Back

The time spent at a location can be determined by the length of the horizontal line segment on the graph that represents that location.

Front

What does a horizontal line on a distance-time graph represent?

Back

A horizontal line on a distance-time graph represents a period of time where the object is stationary.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.