There is an expression some people use that says, “What you put into it is what you get out of it.” People might use this expression to describe your skills at a sport or activity and how that relates to the amount of time and effort you spend practicing that activity. Does this expression apply to functions? How? Give an example to support your answer.
Did i do this right? : not in any general way. If
f(x) = x
then that's true. For other functions, it will be true only sometimes, but mostly never.
Yes, you're on the right track! The expression "What you put into it is what you get out of it" can be applied to functions as well.
In mathematics, a function is a rule that assigns each input to a unique output. The concept of input and output in functions aligns with the expression mentioned. If you put a specific input into a function, the output you receive is determined by the function itself.
For example, let's consider the function f(x) = 2x. In this function, whatever input value you put in (which is represented by x), the function will double that value and give you the output. So, if you put in 3 as the input, the function will return 2 times 3, which is 6. Similarly, if you put in 5, the function will return 2 times 5, which is 10.
In this case, the more you put into the function (in terms of input values), the more you will get out of it (in terms of the corresponding output values). So, the expression "What you put into it is what you get out of it" applies to this specific function.
However, it's important to note that this expression may not always hold true for all functions. Different functions have different rules and behaviors, so it's not a universally applicable concept in the context of functions.