Comparing Functions: Key Concepts and Techniques

Miss Justice introduces the concept of comparing functions using different representations such as tables, graphs, equations, and words. The video covers examples like comparing the speeds of a zebra and a lion, analyzing gas mileage between a car and an SUV, and evaluating the rate of change for movies and games received by a store. The focus is on understanding rates of change and making comparisons using different forms of data representation.

Which of the following is NOT a representation of a function?

• Table

• Graph

• Equation

• Matrix

What is the main goal when comparing the speeds of the lion and the zebra?

• To find the distance each can run

• To determine which animal is faster

• To calculate the time each takes to run a mile

• To compare their weights

What is the speed of the lion in feet per second?

• 60

• 53

• 59

• 45

How do you find the rate of change for the zebra?

• By measuring its weight

• By comparing it to another animal

• By choosing two points on the graph and finding the difference

• By timing its run over a mile

What is the gas mileage of the car in miles per gallon?

• 44

• 38

• 22

• 19

Which vehicle travels further on one gallon of gas?

• The car

• The sports utility vehicle

• Both travel the same distance

• It cannot be determined

What is the rate of change for the games received by the store?

• 1 game per week

• 6 games per week

• 3 games per week

• 7 games per week

How many new movies will the store have in six weeks?

• 44

• 42

• 18

• 19

How many new games will the store have in six weeks?

• 19

• 42

• 44

• 18

What should you do when the example mentions y-intercepts?

• Compare them with x-intercepts

• Use them to find the rate of change

• Calculate them immediately

• Ignore them for now