Understanding Functions and Data Types

This lesson covers function rules, tables, and graphs, focusing on discrete and continuous data. It explains how to model functions using rules, tables, and graphs, and how to graph real-world situations. The lesson includes practice with function rules and graphing, and explores non-linear functions like absolute value and quadratic functions, highlighting their unique graph shapes.

What is the main focus of lesson 5-3?

• Exploring geometric shapes

• Learning about function rules, tables, and graphs

• Understanding algebraic expressions

• Studying historical mathematicians

Which of the following is an example of discrete data?

• Number of students in a class

• Temperature readings

• Time intervals

• Height measurements

How is continuous data typically represented?

• With bar graphs

• With a solid line

• With dashed lines

• With individual points

What is the purpose of a function rule?

• To describe geometric shapes

• To provide a historical context

• To list all possible outcomes

• To show how variables are related

In the function y = 1/3x + 2, what does the '1/3' represent?

• The x-intercept

• The y-intercept

• The slope of the line

• The constant term

Why is it important to plot at least five points when graphing a function?

• To make the graph look complex

• To verify the direction of the graph

• To ensure the graph is colorful

• To use up more graph paper

When graphing real-world data, why should intervals be equal?

• To make the graph look symmetrical

• To use fewer labels

• To ensure accurate representation

• To simplify calculations

In the video game rental example, what does the function c(v) = 5 + 3v represent?

• The number of video games available

• The cost of buying a video game

• The total monthly cost of renting video games

• The time spent playing video games

What is the main difference between discrete and continuous data?

• Discrete data involves whole items

• Continuous data is always positive

• Continuous data is represented by points

• Discrete data can be divided into parts

What shape do absolute value graphs typically form?

• A straight line

• A circle

• A V-shape

• A zigzag pattern