Understanding Function Concepts and Properties

Mr. Kelly from flipmath.com introduces the concept of functions, explaining how they map input values to output values. He discusses the importance of labeling axes and using variables in graphing. The lesson covers how variables can vary in tandem and the different ways to express function rules. Mr. Kelly explains how to identify increasing and decreasing functions both verbally and analytically. The video also covers graph analysis, including finding zeros and understanding concavity. The lesson concludes with practice questions and tips for success.

What is the domain of a function?

• The set of output values

• The set of dependent variables

• The set of input values

• The set of all possible graphs

In function notation, what does the variable inside the parentheses represent?

• The dependent variable

• The input

• The range

• The output

Which of the following is NOT a way to express function rules?

• Emotionally

• Analytically

• Verbally

• Graphically

What does it mean for a function to be increasing?

• As input values increase, output values decrease

• As input values increase, output values remain constant

• As input values increase, output values increase

• As input values decrease, output values increase

What is a zero of a function?

• Where the output value is zero

• Where the input value is zero

• Where the graph intersects the y-axis

• Where the graph is concave up

What is the point of inflection on a graph?

• Where the graph is steepest

• Where the graph changes from increasing to decreasing

• Where the graph changes concavity

• Where the graph intersects the x-axis