Core 8 - Analyzing Graphs of Functions

Front

What does it mean for a graph to decrease at a constant rate?

Back

It means that the value of the function decreases by the same amount over equal intervals of the independent variable.

Front

What is a stationary point on a graph?

Back

A stationary point is where the graph does not move; the slope is zero.

Front

How can you determine the distance at which one object passes another on a graph?

Back

You find the point where the two graphs intersect, which represents the distance at which they are at the same position.

Front

What does a fast steady speed look like on a graph?

Back

It appears as a straight line with a steep slope moving away from the starting position.

Front

How do you interpret the time spent at a location on a graph?

Back

The time spent is represented by the length of the horizontal line on the graph corresponding to that location.

Front

What does it mean if a graph has a steep slope?

Back

A steep slope indicates a fast rate of change in the function's value.

Front

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

Back

The x-axis typically represents time, showing how distance changes over that time.

Front

What does it mean for a graph to have a negative slope?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you tell if an object is moving away from the starting position on a graph?

Back

If the graph is rising above the starting point on the y-axis, the object is moving away.

Front

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

Back

A horizontal line indicates that the object is stationary and not changing its position.