# Thread: Urgent basic calculus help needed...(this wasn't covered in class notes!)

1. ## Urgent 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!

2. 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. $f(x) = \frac{x-2}{3}$
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: $\lim_{x \to \pm \infty} f(x)$?

3. Originally Posted by o_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. $f(x) = \frac{x-2}{3}$
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: $\lim_{x \to \pm \infty} f(x)$?
Thanks for the input, this is what I came up with:

For (1) I came up the function is increasing at negative infiniti.
For (2) I came up with where is no vertical asymptote and no horizontal asymptote.

Do those answers sound right?

4. 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?

5. Originally Posted by o_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?
Wait...f'(x) is negative, therefore it is increasing NOWHERE?
ps - please excuse my stupidity..I haven't taken a math course in years, I'm only doing this so I can get into med school.

6. 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..