Describing Function Behavior on a Graph

This lesson teaches how to describe the behavior of functions on given intervals by examining graphs. It covers the domain of functions, common graph reading mistakes, and how to interpret graph windows. The lesson also explains how to analyze function behavior, including constant rates of change, and how to handle graphs with multiple behaviors. Key concepts include understanding function domains, reading graphs correctly, and analyzing function behavior over intervals.

What is the domain of the function y = -2x + 5?

• All positive integers

• All negative integers

• All real numbers

• Only integers from -10 to 10

When calculating the slope of a graph, what is the correct formula?

• Change in x divided by change in y

• Difference between x and y changes

• Change in y divided by change in x

• Sum of x and y changes

Why might a graph not show all possible values of a function?

• The graph is incorrect

• The window is too small

• The function is undefined

• The function is non-linear

What symbol is used to represent that a linear function's domain includes all real numbers?

• A sideways eight

• A vertical line

• A horizontal line

• A circle

How do you describe a function that decreases at a constant rate of 2 for all real numbers?

• The function is constant

• The function is decreasing at a constant rate of 2

• The function is non-linear

• The function is increasing at a constant rate of 2

In a graph with two distinct behaviors, how is the behavior on the left side typically described?

• Constant

• Non-linear

• Increasing at a constant rate

• Decreasing at a constant rate

For a graph with three intervals, what is the behavior on the interval from 2 to 4?

• Remains constant

• Increases at a constant rate of 3

• Increases at a constant rate of 1/2

• Decreases at a constant rate of 2