Question

1. You are given the function f(x) = x/(1−x) a) Find the x and y- intercepts....

1. You are given the function f(x) = x/(1−x)

a) Find the x and y- intercepts.

b) Find the horizontal asymptote(s).

c) Find the vertical asymptote(s) and do a limit analysis of the behavior of f on either
side of each vertical asymptote.

d) Find the critical number(s) of f.

e) Find the interval(s) of increase and decrease of f.

f) Find the relative maximum and minimum value(s) of f.

g) Find the hypercritical number(s) of f.

h) Find the interval(s) of upward and downward concavity of f.

I) Find the point(s) of inflection of f.

j) Sketch the graph of f.

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
Find the vertical asymptotes, horizontal asymptote, and x and y intercepts of the following function and...
Find the vertical asymptotes, horizontal asymptote, and x and y intercepts of the following function and sketch a graph f(x) = (x^2 − 4) / (x^2 − 2x − 15)
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical...
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical values of f? (b) Find relative maximum/minimum values (if any). (c) Find possible inflection points of f. (d) On which intervals is f concave up or down? (e) Sketch the graph of f. (ii) Find a horizontal and a vertical asymptote of f(x) = 6x . 8x+3
Given f(x) = , f′(x) = and f′′(x) = , find all possible x2 x3 x4...
Given f(x) = , f′(x) = and f′′(x) = , find all possible x2 x3 x4 intercepts, asymptotes, relative extrema (both x and y values), intervals of increase or decrease, concavity and inflection points (both x and y values). Use these to sketch the graph of f(x) = 20(x − 2) . x2
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all...
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all critical numbers, • Determine where the function is increasing and where it is decreasing, • Find and classify the relative extrema, • Determine where the function is concave up and where it is concave down, • Find any inflection points, and Use this information to sketch the graph of the function. • Use this information to sketch the graph of the function.
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:...
Find a rational function with x-intercepts –2 and 5, y-intercept 5, and vertical asymptotes x =...
Find a rational function with x-intercepts –2 and 5, y-intercept 5, and vertical asymptotes x = 3 and x = 6. State the horizontal asymptote of the graph of the function.
Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote...
Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. g(x) = x-5/3x-1
Analyze the function f and sketch the curve of f by hand. Identify the domain, x-intercepts,...
Analyze the function f and sketch the curve of f by hand. Identify the domain, x-intercepts, y-intercepts, asymptotes, intervals of increasing, intervals of decreasing, local maximums, local minimums, concavity, and inflection points. f(x) = 3x^4 − 4x^3 + 2
Sketch the graph of the function f(x) = x − 4 / x + 4 using...
Sketch the graph of the function f(x) = x − 4 / x + 4 using the guidelines below, a. Determine the domain of f. b. Find the x and y intercepts. c. Find all horizontal and vertical asymptotes. d. Determine the intervals of increasing/decreasing. e. Determine the concavity of f.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT