Analyzing Functions & Graphs

Front

What does it mean when a graph shows a decreasing slope?

Back

The object is slowing down or moving back towards its starting point.

Front

What is a linear function?

Back

A function that creates a straight line when graphed, indicating a constant rate of change.

Front

What does it mean for a function to be increasing?

Back

The output values of the function rise as the input values increase.

Front

What does it mean for a function to be decreasing?

Back

The output values of the function fall as the input values increase.

Front

How can you determine if a function is linear or non-linear?

Back

If the graph forms a straight line, it is linear; if it curves, it is non-linear.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change of the function; a steeper slope means a greater rate of change.

Front

What does a constant rate of change look like on a graph?

Back

A straight line with a consistent slope.

Front

What does it mean if a graph is flat (horizontal)?

Back

The function has a slope of zero, indicating no change in output as input changes.

Front

How can you tell which person is running the fastest from a graph?

Back

The person with the steepest slope on the graph is running the fastest.

Front

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

Back

The function does not have a constant rate of change and its graph is not a straight line.