Question

11) Let p(x) = (4x^2-9)/(4x^2-25) (a) What is the domain of the function p(x)? (b) Find...

11) Let p(x) = (4x^2-9)/(4x^2-25)

(a) What is the domain of the function p(x)?

(b) Find all x- and y-intercepts.

(c) Is function p(x) an even or odd function?

(d) Find all asymptotes.

(e) Find all open intervals on which p is increasing or decreasing.

(f) Find all critical number(s) and classify them into local max. or local min..

(g) Sketch the graph of p. [Please clearly indicate all the information that you have found in (a)–(f) above.]

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) 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:...
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
Question 1 With: ?(?) = ?3 + 4 ?2 What is the domain of ?? Find...
Question 1 With: ?(?) = ?3 + 4 ?2 What is the domain of ?? Find the equations of all the asymptotes of ? (if any) (at the boundaries/holes of the domain) Find the intercepts of ? (if any) Is the function even? Odd? If yes, what symmetry will the graph possess? Do a sign chart of the first derivative, indicate the intervals where ? is increasing/decreasing, and find all the horizontal tangents of ? (if any). Do a sign...
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.
Show a step by step drawn sketch of the function below. Ensure you are finding everything...
Show a step by step drawn sketch of the function below. Ensure you are finding everything you can about the function (ie. intercepts, increasing/decreasing intervals, positive/negative intervals, restrictions, asymptotes, domain, range, end behaviours, max/min values, critical points, points of inflection) Graph the full function in as much detail as possible and show all calculations. y = x - 3x^(1/3)
- Suppose f is a function such that f′(x) = (x+ 1)(x−2)2(x−3), so that f has...
- Suppose f is a function such that f′(x) = (x+ 1)(x−2)2(x−3), so that f has the critical points x=−1,2,3. Determine the open intervals on which f is increasing/decreasing. - Let f be the same function as in Problem 9. Determine which, if any, of the critical points is the location of a local extremum, and indicate whether each extremum is a maximum or minimum. Im confused on how to figure out if a function is increasing and decreasing and...
f(x)=2x ln x find what intervals on the graph of the function are increasing and decreasing...
f(x)=2x ln x find what intervals on the graph of the function are increasing and decreasing and identify local max and min points
For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an answer. (a) find all local extrema...
For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an answer. (a) find all local extrema of this function, if any, and increasing and decreasing intervals. Local max:___ Local min:___ Increasing:___ Decreasing:___ (b) Find all the inflection points of this function, if ay. And concave up and concave down intervals. Inflection points:___ concave up:___ concave down:___ (c) Use part a and b to sketch the graph of the function. Must label important points and show proper concavity.
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
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.