Analyzing Graphs

Front

What does a graph showing a rapid increase followed by a decrease represent?

Back

It represents a situation where an object starts at a high speed, slows down, and may eventually stop.

Front

Define 'constant speed' in the context of graph analysis.

Back

Constant speed means that the distance covered over time remains the same, represented by a straight line on a graph.

Front

What does a graph that decreases at a decreasing rate look like?

Back

It starts steep and gradually flattens out, indicating that the rate of decrease is slowing down.

Front

How can you identify the fastest runner in a graph?

Back

The fastest runner is represented by the steepest line on a distance-time graph.

Front

What does it mean when a graph remains constant?

Back

It indicates that there is no change in the value over time, represented by a horizontal line.

Front

Describe a graph that shows an object accelerating.

Back

It curves upward, indicating that the speed of the object is increasing over time.

Front

What is the significance of the slope in a distance-time graph?

Back

The slope represents the speed of the object; a steeper slope indicates a higher speed.

Front

What does a graph that increases at a constant rate look like?

Back

It is a straight line that slopes upward, indicating a steady increase in distance over time.

Front

Explain what a decreasing function looks like on a graph.

Back

A decreasing function slopes downward from left to right, indicating that the value is getting smaller.

Front

What does it mean if a graph has a section that is flat?

Back

A flat section indicates that the object is at rest or not changing its position over time.