1) Given f(x) = 3x + 2, where is the function increasing?

2) Given f(x) = x-2 / 3

The "/" is meant to denote a fraction, x-2 over 3

-what is the vertical asymptote?

-what is the horizontal asymptote?

THANKS SO MUCH IN ADVANCE!

- Mar 25th 2008, 07:48 PMChuck61686Urgent basic calculus help needed...(this wasn't covered in class notes!)
1) Given f(x) = 3x + 2, where is the function increasing?

2) Given f(x) = x-2 / 3

The "/" is meant to denote a fraction, x-2 over 3

-what is the vertical asymptote?

-what is the horizontal asymptote?

THANKS SO MUCH IN ADVANCE! - Mar 25th 2008, 08:09 PMo_O
**1.**What does the graph of this look like? You should be able to figure out quickly that it's ALWAYS increasing. Why? Look at f'(x)

**2.**$\displaystyle f(x) = \frac{x-2}{3}$

Vertical asymptote: Is there even any x values that f(x) cannot have (i.e. lead to a division of 0 or anything like that?)?

Horizontal asymptote: You should tell what type of graph this is and deduce if there are any. But nonetheless, what is: $\displaystyle \lim_{x \to \pm \infty} f(x)$? - Mar 25th 2008, 08:29 PMChuck61686
- Mar 25th 2008, 09:07 PMo_O
2 is correct.

For the first one, what kind of graph is it? What is f'(x)? If a function is monotonically increasing, what property should f'(x) have? - Mar 25th 2008, 09:12 PMChuck61686
- Mar 25th 2008, 09:52 PMa.a
a reali easy way to look at #1 is that its a striaght line with a +ve sope.. so that means it is increasing

also f'(x)= 3... a +ve number..