Analyzing Functions & Graphs

Front

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

Back

The graph shows a horizontal line, indicating that the position of the object does not change over time.

Front

In a distance-time graph, what does a steep slope indicate?

Back

A steep slope indicates a high speed, meaning the object is moving quickly.

Front

What does a flat section of a graph represent?

Back

A flat section represents a constant speed, where the object is not changing its position over time.

Front

How can you identify when an object is anchored in a graph?

Back

An anchored object is represented by a horizontal line, indicating no change in position.

Front

What does it mean if a function is linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the difference between increasing and decreasing functions?

Back

An increasing function rises as you move from left to right, while a decreasing function falls.

Front

How do you determine the interval where a function is constant?

Back

Look for sections of the graph where the line is horizontal, indicating no change in value.

Front

What does it mean for a function to be non-linear?

Back

A non-linear function does not have a constant rate of change and is represented by a curve on a graph.

Front

How can you tell if a function is increasing or decreasing between two points?

Back

If the value of the function rises between the two points, it is increasing; if it falls, it is decreasing.

Front

What is a head start in a race represented by in a graph?

Back

A head start is shown by a vertical shift in the graph, indicating one runner begins ahead of the others.