Question

f(x)= (x^2+2x-1)/x^2) Find the a.) x-intercept b.) vertical and horizontal asymptote c.) first and second derivative...

f(x)= (x^2+2x-1)/x^2)

Find the

a.) x-intercept

b.) vertical and horizontal asymptote

c.) first and second derivative

d.) Is it increasing or decreasing? Identify any local extrema

e.) Is it concave up and down? Identify any points of reflection.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x)= (x-2)/(x^2-9) A. find the x and y-intercepts B. find the vertical and horizontal asymptote...
Let f(x)= (x-2)/(x^2-9) A. find the x and y-intercepts B. find the vertical and horizontal asymptote if any C. find f'(x) and f''(x) D. find the critical values E. determine the interval of increasing, decreasing, and find any relative extreme F. determine the interval which f(x) is concave up, concave down, and any points of inflection
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical...
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical Numbers and determine the intervals where h(x) is increasing and decreasing. Find the point of inflection (if it exists) and determine the intervals where h(x) concaves up and concaves down. Find the local Max/Min (including the y-coordinate)
f(x)= x−cos(x) on the interval [0,2π] a. Find the Y intercept b. Is it increasing or...
f(x)= x−cos(x) on the interval [0,2π] a. Find the Y intercept b. Is it increasing or decreasing c. what are the crit points and local minimums and maximums d. is it concave up or down e. what are the inflection points
Given the function g(x) = x3-3x + 1, use the first and second derivative tests to...
Given the function g(x) = x3-3x + 1, use the first and second derivative tests to (a) Find the intervals where g(x) is increasing and decreasing. (b) Find the points where the function reaches all realtive maxima and minima. (c) Determine the intervals for which g(x) is concave up and concave down. (d) Determine all points of inflection for g(x). (e) Graph g(x). Label your axes, extrema, and point(s) of inflection.
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and...
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and f '' (x) = 2 / (x - 1)^3 are given. Use these to answer the following questions. (a) [5 marks] Find all critical points and determine the intervals where f(x) is increasing and where it is decreasing, use the First Derivative Test to fifind local extreme value if any exists. (b) Determine the intervals where f(x) is concave upward and where it is...
1. Use the first derivative test and the second derivative test to determine where each function...
1. Use the first derivative test and the second derivative test to determine where each function is​ increasing, decreasing, concave​ up, and concave down. y=20x e^-x , x>0 2. Use the first derivative and the second derivative test to determine where each function is​ increasing, decreasing, concave​ up, and concave down. y=4sin(πx^2), 10≤x≤1
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth) c) Symmetry (Show testing for symmetry) d) asymptotes e) Intervals of increase/decrease (approximate the critical numbers to the nearest thousandth. Be sure to show the values tested) f) Local maxima and local minima g) Intervals of concavity and points of inflection (be sure to show all testing) h) summary for f(x)=(x^2)/(x-2) Domain X intercepts: Y intercept: symmetry: asymptote: increasing: decreasing: local max: local min:...
use f(x)=2x^4-4x^2-4 to answer the following. a) find where f(x) is increasing or decreasing b) find...
use f(x)=2x^4-4x^2-4 to answer the following. a) find where f(x) is increasing or decreasing b) find where f(x) is concave up or down c) find the coordinates of all relative extrema
f(x)= x^4-2x^2-3. Using the first derivative test, find: a. All critical Numbers b. Intervals on which...
f(x)= x^4-2x^2-3. Using the first derivative test, find: a. All critical Numbers b. Intervals on which f(x) is increasing or decreasing c. location and value of all relative extrema
f(x)=((2x+4)(5x+2))/((7x+8)(7x+6)) 1. Find the vertical asymptote(s). If there is more than one vertical asymptote give a...
f(x)=((2x+4)(5x+2))/((7x+8)(7x+6)) 1. Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the xx-values separated by commas. If there are no vertical asymptotes, type in none . x= 2. If this function has a horizontal asymptote, give its yy-value. If there is no horizontal asymptote, type in none y= 3. Find the xx-intercept(s). If there is more than one xx-intercept give a list of the xx-intercepts separated by commas (i.e.: (1,2),(3,4)). If there is...