Posted by zama on Sunday, November 8, 2009 at 7:48am.
f(x)=2x+8x^1.For this function there are four important intervals: (infinity,A],[A,B),(B,C), and [C,infinity) where A,B and C are either critical numbers or points at which f(x) is undefined.Find A,B and C.

calculus  Reiny, Sunday, November 8, 2009 at 8:14am
f'(x) = 2  8/x^2
setting this equal to zero yields x = ±2
where y is then ±8
I will describe the function:
Vertical asymptote at x = 0
Minimum point at (2,8)
Maximum point at (2,8)
Oblique asymptote y = 2x
Answer This Question
Related Questions
 Math  Consider the function f(x) = 7 x + 3 {x ^ 1 }. For this function there ...
 Calculus  Sketch the graph of the function that has the following properties. f...
 Please check my Caclulus  1. Find all intervals on which the graph of y=(x^2+1...
 Calculus  find the intervals where the function is increasing and the intervals...
 Calculus  Consider the function f(x)=ln(x)/x^6. For this function there are two...
 Calculus  a) find the intervals on which f is increasing or decreasing. Is it...
 AP Calculus  For the function y=42x^2+1/6x^4 find the following: Domain x and ...
 Please check my Calculus  1. Find all critical values for f(x)=(9x^2)^⅗ ...
 Please check my Calculus  1. Find all points of inflection of the function f(x...
 Calculus  Find the intervals on which the given function is increasing and ...
More Related Questions