Skip to main content

All Questions

3 votes
1 answer
67 views

Seemingly conflicting notions of a function

Throughout my mathematical education, I have seen a few, seemingly, different and conflicting notions of what a function is: A function is a a type of mathematical object that maps every element of a ...
user avatar
2 votes
2 answers
212 views

Function application (word problem)

The problem: My work so far: $3=log(\frac{A}{A_0})$--->$10^3=\frac{A}{A_0}$ $\frac{A}{A_0}=1000$ (Am I done there?) Plugging it in: $M=log(\frac{1900000}{1000})$ $10^M = \frac{1900000}{1000}$ $M=3....
GeekyDewd's user avatar
  • 309
0 votes
1 answer
29 views

Evaluate a Variable Defined in Terms of its Function

I have a variable x which is defined as follows: x = 150 / (7 + f(x)) where f(x) = 0.005 * x if x > 200, or 100 otherwise. This is actually a simplified version of a real world problem. How do I ...
Tom Tucker's user avatar
6 votes
2 answers
15k views

What are functions used for?

When I say functions, I don't mean the trigonometric functions like $\sin$, $\cos$, and $\tan$, I mean defined functions like $f(x) = 2x + 4$. Why is $f(x)$ used and why isn't a single variable ...
David G's user avatar
  • 4,287