Understanding Graphs and Functions

This video tutorial explains how to describe linear functions as increasing, decreasing, or constant by reading graphs from left to right. It covers how to identify the domain and range of functions, using specific graph examples to illustrate these concepts. The tutorial concludes with practice exercises to reinforce learning.

What are the main objectives of this lesson?

• To understand calculus concepts

• To learn about quadratic functions

• To solve complex equations

• To describe linear functions and identify domain and range

How do we read a graph to determine if it is increasing?

• From top to bottom

• From bottom to top

• From right to left

• From left to right

What does it mean if a graph is flat?

• It is exponential

• It is increasing

• It is decreasing

• It is constant

What is the domain of a graph?

• The set of all y values

• The set of all points

• The set of all x values

• The set of all z values

Why do we use parentheses with negative infinity?

• Because it is a finite number

• Because it is included

• Because it is not included

• Because it is a positive number

What does a solid circle on a graph indicate?

• The value is not included

• The value is included

• The graph is constant

• The graph is decreasing

What is the range of the first graph?

• 2 to infinity

• Negative infinity to 8

• 0 to infinity

• Negative infinity to 4

What does an open circle on a graph signify?

• The value is included

• The graph is constant

• The value is not included

• The graph is increasing

What is the domain of the second graph?

• 2 to infinity

• Negative infinity to 8

• 0 to infinity

• Negative infinity to 4

What is the range of the second graph?

• 2 to infinity

• 0 to infinity

• Negative infinity to 8

• Negative infinity to 4