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. Help! Very Confusing

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. Help! Very Confusing

Answer 1

f(x) = x + 2

the higher number you put in the higher answer you get.

Think about x = 2 vs. x = 200

Answer 2

Yes, this expression can also be applied to mathematical functions. In the context of functions, it means that the output of a function is determined by the input you provide. If you put a certain value into a function, you will get a corresponding value as the output.

To illustrate this concept, let's consider a simple function, such as f(x) = x^2. In this case, the function takes an input value x, squares it, and returns the result as the output.

Now, suppose we input the value x = 3 into the function. By substituting x = 3 into the function, we have f(3) = 3^2 = 9. So, when we put the value 3 into the function, we get the output 9. Similarly, if we put x = -2 into the function, we have f(-2) = (-2)^2 = 4. So, in this case, the input -2 gives us the output 4.

This example demonstrates that the output of the function is directly influenced by the input value we provide. It follows the same principle as the expression "What you put into it is what you get out of it." In the context of functions, the input you provide determines the output you receive.