calculus (PLEASE HELP!)
posted by Katie .
f(x)=((x+1)^3)2
1. Describe the long term behavior of this function. Give the power function that f resembles.
2. Determine the number of turning points f has.

Looks like 1/x^6
f(x) = (x+1)^6
f' (x) = 6 (x+1)^7 = 6/(x+1)^7
this is undefined at x = 1, goes to zero for large + or  x, changes sign at x = 1
Respond to this Question
Similar Questions

math
f(x)=(x+1)^32 1. Describe the long term behavior of this function. Give the power function that f resembles. 2. Determine the number of turning points f has. 
math
Please help me! f(x)=(x+1)^32 1. How do I find the x and y intercepts, if any? 
precalculus
analyzethe graph of the function Find the x and yintercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of x. (c) Find the maximum number of turning points. (d) Graph … 
precalculus
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always … 
Math
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always … 
Functions/End behavior
f(x)=x^2(x^22)(x+2) Determine the end behavior, find the power function that the graph of f resembles for large values of x Find the maximum number of turning points 
College alg
Analyze the graph of the following function as follows: (a) Find the x and yintercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of x. (c) Find the maximum number of … 
calculus
given the following function find, a. zeros and the multiplicity of each b. number of turning points c. end behavior f(x)=(x1)(x5) a. x=1 and x=5is this correct? 
math pre calculus
find the following for the function f(x)=(x+5)^2(x2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f d.determine … 
pre calculus
find the following for the function f(x)=(x+3)^2(x1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number …