Interpreting Graphs of Functions

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the x-axis represent in a graph?

Back

The x-axis typically represents the independent variable in a graph.

Front

What does the y-axis represent in a graph?

Back

The y-axis typically represents the dependent variable in a graph.

Front

How do you identify a stationary point on a graph?

Back

A stationary point is where the graph has a horizontal tangent line, indicating no change in the y-value.

Front

What does it mean when a graph is increasing?

Back

A graph is increasing when the y-values rise as the x-values increase.

Front

What does it mean when a graph is decreasing?

Back

A graph is decreasing when the y-values fall as the x-values increase.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, written as (x, y).

Front

What does a flat line on a graph indicate?

Back

A flat line indicates that the object is not moving; the y-value remains constant.

Front

What does a steep line on a graph indicate?

Back

A steep line indicates a rapid change in the y-value as the x-value changes, suggesting high speed.

Front

What does it mean for an object to accelerate?

Back

To accelerate means to change speed or direction over time.