Question

Sketch a graph of a function having the following properties. Make sure to label local extremes...

Sketch a graph of a function having the following properties. Make sure to label local extremes and inflection points.

1) f is increasing on (−∞, −2) and (3, 5) and decreasing on (−2, 0),(0, 3) and (5,∞).

2) f has a vertical asymptote at x = 0.

3) f approaches a value of 1 as x → ∞

4) f does not have a limit as x → −∞

5) f is concave up on (0, 4) and (8, ∞) and concave down elsewhere.

Homework Answers

Answer #1

If you have any kind of problem then please ask me in the comment section. If you understand then please like it.

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^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.
How do I graph a function with the following properties? increasing: (-∞, 1) decreasing: (1, 3),...
How do I graph a function with the following properties? increasing: (-∞, 1) decreasing: (1, 3), (3, ∞) local max: (1, 8) intercepts: (0,0), (3, 0) concave down: (-∞, 2), (3, ∞) concave up: (2, 3) inflection points: (2, 5), (3, 0)
Curve Sketching Practice Use the information to the side to sketch the graph of f. Label...
Curve Sketching Practice Use the information to the side to sketch the graph of f. Label any asymptotes, local extrema, and inflection points. f  is a polynomial function x —1 —6 3 —2 6 5 f  is a polynomial function x 1 —4 4 0 7 4
Which of the following is true about the graph of f(x)=8x^2+(2/x)−4? a) f(x) is increasing on...
Which of the following is true about the graph of f(x)=8x^2+(2/x)−4? a) f(x) is increasing on the interval (−∞,0). b) f(x) has a vertical asymptote at x=2. c) f(x) is concave down on the interval (0,∞). d) f(x) has a point of inflection at the point (0,−4). e) f(x) has a local minimum at the point (0.50,2). Suppose f(x)=12xe^(−2x^2) Find any inflection points.
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the intervals on which f(x) is increasing / decreasing (b) Determine if any critical values correspond to a relative maxima / minima (c) Find possible inflection points (d) Determine intervals where f(x) is concave up / down
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 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.
5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the following to sketch the graph....
5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the following to sketch the graph. Do not use a graphing calculator. a. [2 pts] Determine the domain of the function, write your answer in interval notation: b. [4 pts] Find the x-intercept(s), if any. c. [2pts] Find the y-intercept, if any. d. [2 pts] Find the vertical asymptotes, if any. e. [2 pts] Find the horizontal asymptote(s) or slant asymptote, if any. f. [4 pts] Determine whether the graph...
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...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT