Analyzing Graphs and Functions

Front

What is a graph?

Back

A visual representation of data that shows the relationship between different variables.

Front

What does the x-axis represent in a graph?

Back

The horizontal axis, typically representing the independent variable.

Front

What does the y-axis represent in a graph?

Back

The vertical axis, typically representing the dependent variable.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What does it mean for a graph to be linear?

Back

The graph forms a straight line, indicating a constant rate of change.

Front

What is the slope of a line?

Back

The measure of the steepness of the line, calculated as the rise over run.

Front

What is a coordinate point?

Back

A pair of numbers (x, y) that define a specific location on a graph.

Front

What does it mean when a graph is increasing?

Back

The y-values are rising as the x-values increase.

Front

What does it mean when a graph is decreasing?

Back

The y-values are falling as the x-values increase.

Front

What is a stationary point on a graph?

Back

A point where the function does not change; the slope is zero.