Answer:
The advice given, "Just remember that functions are very strict and never give you a choice," can be a helpful way to understand and remember the nature of functions. Here's an explanation of how this advice can assist in understanding functions:
Strictness: Functions have a strict rule that each input value can only map to one unique output value. In other words, for any given input, there is only one corresponding output. This strictness ensures a clear and unambiguous relationship between the input and output values.
No Choice: Functions do not provide any choice or ambiguity in their mappings. When you input a specific value into a function, it determines and gives you a specific output value. There is no room for multiple possibilities or ambiguity in the mapping process.
By emphasizing the strictness and absence of choice in functions, the advice highlights the key characteristics that distinguish functions from other types of relations. It reinforces the idea that a function is a well-defined mapping where each input leads to a unique output, leaving no room for uncertainty or multiple options.
On the other hand, relations that are not functions allow for more flexibility and choices. They may have multiple outputs for a single input, or they may have some inputs that do not have any corresponding outputs. This key distinction helps differentiate functions from other types of relations and serves as a helpful mnemonic device to remember what a function is.
Step-by-step explanation: