Math AA Comic
Storyboard Text
- By Alexis, Cher Ning & Jessica
- The story of Bob and the world of Functions
- Bob
- Whew, it is so hot today!! I am going to go down and get a drink from the vending machine
- Somewhere near Bob's house ...
- Bob pays $1.50 for a bottle of coke
- As seen in the the previous slide, to get a drink, Bob first inserts 1.50 into the machine. The $1.50 inserted is the input, which will be processed by the vending machine.
- In exchange for his money, Bob gets a drink. Hence, the drink that he receives is the output.
- Since the vending machine takes in money and churns out drinks, it is a function.
- $1.50
- A function is a rule/relation which assigns each and every element of x∈X to one and only one element in y∈Y
- What is a Function ?
- When Bob inserts $1.50, he can only buy one drink. the vending machine is said to be a one-one function, where a certain amount of money inserted can only buy one specific type of drink.
- Bob's friend, Bobarina comes along and inserts $1.90
- For $1.90, Bobarina is able to choose from several drinks. In this case, the vending machine is not a one-one function, where for the same input of $1.90, Bobarina can buy several different drinks.
- In another scenario, The two find out that somebody is giving out free drinks, so Bob doesn’t want to waste his money on the drink. He presses the button for a refund.
- In this case, Bob forgoes his drink and takes back his $1.50. He is able to exchange his output for his input through an inverse functionAny horizontal line cuts the graph at most once, f is a one-one function. Hence, the inverse of f, denoted by f-1 exists.
- x
- However, when Bobarina tries to forgo her drink, she is unable to get a refund.
- Bobarina is unable to get a refund because the machine is not a one-one function
- Image Attributions: (https://pixabay.com/vectors/bottle-coke-drink-soda-1300161/) - OpenClipart-Vectors - License: Free for Most Commercial Use / No Attribution Required / See https://pixabay.com/service/license/ for what is not allowed
Image Attributions
- https://pixabay.com/vectors/bottle-coke-drink-soda-1300161/ - OpenClipart-Vectors - (License Free for Most Commercial Use / No Attribution Required / See https://pixabay.com/service/license/ for what is not allowed )
Over 30 Million Storyboards Created
No Downloads, No Credit Card, and No Login Needed to Try!
