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!
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!
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: $\displaystyle \lim_{x \to \pm \infty} f(x)$?