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.

Question

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.

Answer 1

I would have written

f(x)=k*x where k is a constant.
for instance, x = hours of work
f(x) is bananas peeled. K is the rate, as in 3banans/minute

Answer 2

You did a great job in describing the general idea behind the expression "What you put into it is what you get out of it." This expression does apply to functions as well, although its interpretation may vary depending on the function.

In general, when we talk about functions, "what you put into it" refers to the input value or the independent variable, and "what you get out of it" refers to the output value or the dependent variable. In simpler terms, it means that the result of a function is determined by the input you provide.

Let's take an example to illustrate this concept. Consider the function f(x) = 2x. If you put in the value x = 3 into this function, you would get an output of f(3) = 2 * 3 = 6. If you put in x = 5, you would get f(5) = 2 * 5 = 10. The output depends on what you put into the function.

Similarly, if we have a different function g(x) = x^2, the expression still holds true. For example, if you put in x = 2, you would get g(2) = 2^2 = 4. If you put in x = -3, you would get g(-3) = (-3)^2 = 9.

However, it's important to note that this expression may not always hold true for all functions. There are some functions where the output is not solely determined by the input, such as random number generators or functions with complex behaviors. So while the expression generally applies to functions, it may not be true in every case.

Overall, the expression "What you put into it is what you get out of it" does have relevance to functions, as it highlights the relationship between the input and the output values.