Analyzing Graphs for Functions

Front

What does a horizontal line on a graph represent?

Back

Constant speed or no movement.

Front

What does a line with a positive slope indicate?

Back

The function is increasing.

Front

What does a line with a negative slope indicate?

Back

The function is decreasing.

Front

What does a vertical line on a graph represent?

Back

Undefined slope; not a function.

Front

What is the difference between constant speed and acceleration on a graph?

Back

Constant speed is represented by a straight horizontal line, while acceleration is represented by a curve or a line with a positive slope.

Front

What does a steep slope on a graph indicate?

Back

A greater rate of change.

Front

What does a flat line on a graph indicate?

Back

No change in the value of the function.

Front

How can you identify intervals of increase and decrease on a graph?

Back

By observing the slope of the line; increasing if the slope is positive, decreasing if the slope is negative.

Front

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

Back

It typically represents the independent variable.

Front

What is the significance of the y-axis in a graph?

Back

It typically represents the dependent variable.