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.

This is really confusing so please help!

Hey Writeacher, Not to sound rude, and I DO know that this is 4 years late, but you didn't actually answer the question. The question was not about the saying, but HOW the saying APPLIES to fractions, and if they do or not. You just got it wrong, don't worry about it!

Here is an excellent article that explains it fully:

http://www.nytimes.com/1994/10/11/science/peak-performance-why-records-fall.html?pagewanted=all

OK! Thank you very much for your help!!! X) :)

You're welcome.

Certainly! I'd be happy to explain.

The expression, "What you put into it is what you get out of it," can indeed be applied to functions in mathematics. In the context of functions, it refers to the relationship between the input values or arguments of a function and the resulting output values.

In mathematics, a function is a rule or mapping that assigns each input value (also called an argument) to a unique output value. The input and output values can be numbers, symbols, or other mathematical objects.

When we say "what you put into it," we are referring to the input values that we choose or provide to the function. These input values determine what information or data we are giving to the function.

On the other hand, "what you get out of it" refers to the resulting output values that the function produces based on the provided input values. The output values can represent a wide range of information, depending on the specific function.

For example, let's consider a simple function that doubles any given input value. We can express this function as:

f(x) = 2 * x

If we put the number 3 into this function, the output value will be:

f(3) = 2 * 3 = 6

Similarly, if we put the number 7 into the function, the output value will be:

f(7) = 2 * 7 = 14

In this case, the expression "what you put into it is what you get out of it" holds true. The values we put into the function (3 and 7) directly determine the resulting output values (6 and 14).

In summary, the expression "What you put into it is what you get out of it" can be applied to functions by understanding that the input values provided to a function directly influence the output values that the function produces.

That saying could apply to just about anything you do.

practicing piano (or any other musical instrument)

training for any sport

reading, reading, reading (if you want to be good at both reading and writing, in any language)

and on and on ...

What is one of your activities or sports? How much time do you put into it daily? weekly?

If a friend practices on her violin (as an example) for 4-5 hours every day, will she be better or worse at it than someone who goes to lessons and then practices 1 hour a day?

What do you think?