Question

What is an example of a graph look like that is continuous on all real numbers,...

What is an example of a graph look like that is continuous on all real numbers, has critical numbers (for example at x =-5, and x=10, but not local max or min

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Since given that critical number of function are: x = -5 and x = 10, So

at these point slope of graph will be zero.

Now also given that this function has no local max or min, So

We know that generally at critical point functions have local maxima or local minima, but since in this case we don't have local max or min, then possible graph of the function will look like:

for better understanding see that above graph change it's concavity at critical number and see below graph of function f(x) = x^3, for which x = 0 is a critical number, but it is not a local max or min for the fucntion.

Let me know if you've any query

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6. Let ?(?) be a continuous function defined for all real numbers, with?'(?)=(?−1)2(?−3)3(?−2) and ?''(?) =...
6. Let ?(?) be a continuous function defined for all real numbers, with?'(?)=(?−1)2(?−3)3(?−2) and ?''(?) = (? − 1)(3? − 7)(2? − 3)(? − 3)2. On what intervals is ? increasing and decreasing? Increasing on: Decreasing on: Find the x-coordinate(s) of all local minima and maxima of ?. Local min at x=__________________ Local max at x=_________________ c. On what intervals if ? concave up and concave down? Concave up on: Concave down on: d. Find the x-coordinate(s) of points of...
Let f(x) be a function that is continuous for all real numbers and assume all the...
Let f(x) be a function that is continuous for all real numbers and assume all the intercepts of f, f' , and f” are given below. Use the information to a) summarize any and all asymptotes, critical numbers, local mins/maxs, PIPs, and inflection points, b) then graph y = f(x) labeling all the pertinent features from part a. f(0) = 1, f(2) = 0, f(4) = 1 f ' (2) = 0, f' (x) < 0 on (−∞, 2), and...
3. Given the function ?(?) = (x^3/3)-(3x^2/2)+2x: a. Find all critical numbers. b. Identify which, if...
3. Given the function ?(?) = (x^3/3)-(3x^2/2)+2x: a. Find all critical numbers. b. Identify which, if any, critical numbers are local max or min and explain your answer. c. Find any inflection points and give the x value. d. On the interval [0.6, 2.6] identify the absolute max and min, if any. and justify your answer. e. Give the interval where the curve is concave up and justify your answer.
Sketch the graph of a function f that is continuous on (−∞,∞) and has all of...
Sketch the graph of a function f that is continuous on (−∞,∞) and has all of the following properties: (a) f0(1) is undefined (b) f0(x) > 0 on (−∞,−1) (c) f is decreasing on (−1,∞). Sketch a function f on some interval where f has one inflection point, but no local extrema.
Like all continuous distributions, the total area under the graph of a uniform distribution is equal...
Like all continuous distributions, the total area under the graph of a uniform distribution is equal to _______; and there is a _______ relationship between the area under the curve between two specified points and the probability of the random variable assuming a value between those two points. Multiple Choice 1. 0; direct 0. 5; indirect 1. 0; indirect 0. 5; direct
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
Sketch a graph (no units) showing what the position vs time graph would look like for...
Sketch a graph (no units) showing what the position vs time graph would look like for truck that is slowing down. Include 3 tangent lines to show 3 different speeds.
sketch graph of a function that continuous on [1,5] an absolute minimum value at x=4 an...
sketch graph of a function that continuous on [1,5] an absolute minimum value at x=4 an absolute maximum value at x=5 a local minimum at x=2 a local maximum at x=3
For ƒ∶(All Real Numbers) →(All Real Numbers), Let ƒ(x) = x3 Is this an injunctive or...
For ƒ∶(All Real Numbers) →(All Real Numbers), Let ƒ(x) = x3 Is this an injunctive or surjective function or both (a bijection)? Show your work.
1) How will our AD/AS graph look like when U.S. Government increases spending for public schools?...
1) How will our AD/AS graph look like when U.S. Government increases spending for public schools? 2) How will our AD/AS graph look like when domestic producers are given government subsidies? 3) How will our AD/AS graph look like when U.S. Congress passes law to decrease the age of working Americans to 13? 4) How will our AD/AS graph look like when the cost of coal rises? 5) How will our AD/AS graph look like when the U.S. invades Canada?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT