4.12.1 Determining Reasonable Inputs and Outputs
4.12.1 • Determining Reasonable Inputs and Outputs
Warm Up
Earlier, you saw a situation where the total number of times a dog has barked was a function of the time, in seconds, after its owner tied its leash to a post and left. Less than 3 minutes after he left, the owner returned, untied the leash, and walked away with the dog.
Could each value be an input of the function? Be prepared to explain your reasoning.
a. 15
b.
c. 300
Compare your answers:
a. Yes
b. Yes
c. No. The owner returned in under 180 seconds and then walked away with the dog, so 300 seconds is not a possible input (assuming that the function is limited to the time the dog was tied to the leash and when the owner was away).
Could each value be an output of the function? Be prepared to explain your reasoning.
a. 15
b.
c. 300
Compare your answers:
a. Yes
b. No. It is not possible for the dog to bark a fractional number of times.
c. Yes
Building Character: Creativity
Despite the stereotype of the mad genius, everyday creativity is just as important. You can use it to help you improve your mood and cope with stress, feel more connected with other people and the world—and even help you find meaning and purpose in life.
Think about your current sense of creativity. Are the following statements true for you?
- I often make decisions that take me outside my comfort zone.
- I have a playful attitude toward learning something new.
Don’t worry if none of these statements are true for you. Developing this trait takes time. Your first step starts today!