Question

Use the function ?(?) = ?4 − 4?3 for questions 12 – 14. 12. Find where...

Use the function ?(?) = ?4 − 4?3 for questions 12 – 14.
12. Find where ?(?) is increasing and decreasing. Then state the local maximum and minimum values.

B. Find where ?(?) is concave up and concave down. Then state the inflection points.

C. Find the x- and y- intercepts of ?(?). State any vertical and horizontal asymptotes, if there are any. Then sketch the graph of ?(?) using the information from questions 12 and 13, along with the newly found information. Clearly identify all crucial points and asymptotes.

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
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.
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...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of f: 2)Vertical asymptotes: 3) Horizontal asymptotes: 4) Intersection in y: 5) intersection in x: 6) Critical numbers 7) intervals where f is increasing: 8) Intervals where f is decreasing: 9) Relatives extremes Relatives minimums: Relatives maximums: 10) Inflection points: 11) Intervals where f is concave upwards: 12) intervals where f is concave down: 13) plot the graph of f on the plane:
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.
Let g (x) = [(x^2-3)/(x^3)] (a) Determine (if they exist) the vertical and horizontal asymptotes of...
Let g (x) = [(x^2-3)/(x^3)] (a) Determine (if they exist) the vertical and horizontal asymptotes of g. (b) Find the formula for g′ (x) and g′′ (x). (c) Find (if they exist) the local extremes of g. (d) Find (if they exist) the inflection points of g. (e) Determine the intervals where g is increasing, and where g is decreasing. (f) Determine the intervals where g is concave upward, and where g is concave down. (g) Plot the graph of...
7. Sketch complete graphs of the following; indicate where the function is increasing/decreasing, has local extrema,...
7. Sketch complete graphs of the following; indicate where the function is increasing/decreasing, has local extrema, where the graph is concave up or concave down, asymptotes and coordinate intercepts (a) ?(?)=(1/5)?5−? (b) ?(?)=(3?+2)/?
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function...
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function is increasing and decreasing. Find open intervals where the function is concave up and concave down. Sketch the graph of the function - label all local maximums, all local minimums, and any inflection points.
Find the intervals where the function ?(?) = ? 3 + 15? 2 − 72? −...
Find the intervals where the function ?(?) = ? 3 + 15? 2 − 72? − 610 is increasing, decreasing and the value(s) where it has extrema. Give the intervals where in its concave up, concave down, and inflection point. Use this information to sketch a graph of the function.
Consider the function ? where ?(?)=4?ln(?)?2. For which real numbers is ?(?) defined? That is, what...
Consider the function ? where ?(?)=4?ln(?)?2. For which real numbers is ?(?) defined? That is, what is the domain? Find any intercepts of ?(?). Find any vertical or horizontal asymptotes of ?. Find the intervals on which ? is increasing and on which ? is decreasing.
?(?)=4?^3/?^?, ?∈(−∞,∞) a. Find ?′(?), and show how to use the First Derivative Test to find...
?(?)=4?^3/?^?, ?∈(−∞,∞) a. Find ?′(?), and show how to use the First Derivative Test to find the intervals of increasing/decreasing, as well as the locations of any local maximums and/or minimums. b.Find ?′′(?), and show how to use the Concavity Test to find the intervals of concave up and concave down, as well as the locations of any inflection points. c.Make a list of all local extrema and inflection points, given as (?,?)coordinates(leave x-values exact, in terms of ?; round...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT