Analyzing Functions & Graphs Homework Worksheet

Front

What is a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed, indicating a variable rate of change.

Front

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

Back

If the graph is a straight line, the function is linear. If the graph curves, it is non-linear.

Front

What is a steady pace in the context of a graph?

Back

A steady pace means that the output values change at a constant rate over time, represented by a straight line on a graph.

Front

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

Back

The x-axis typically represents the independent variable in a function, which is the input value.

Front

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

Back

The y-axis typically represents the dependent variable in a function, which is the output value.