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This is graphing assignment. You must create graphs on your own paper.
Get feedback!All problems are limited submission.Many problems have penalties for each incorrect submissionMost problems are set to immediately display the correct answer if you use up
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Instructions Read today's Notes and Learning Goals
Curve Sketching Intro: Basic (10862413)
Due: Wed Oct 18 2017 07:30 AM MDT
1. Question Details curve sketch 1a [3088047]
Suppose is a function such that
on the interval I.e., the derivative is always positive.
Which of the following is a possible graph of
f(x)
f(3) = 4f '(x) > 0 (−∞,∞).
f(x)?
2. Question Details curve sketch 1b DGB Mod [3169363]
Many different functions meet the conditions
on the interval I.e., the derivative is always positive.
Several possible graphs are shown below. Which of them meet the above conditions? Select all that apply.
f(3) = 4f '(x) > 0 (−∞,∞).
3. Question Details curve sketch 1c [3169366]
Many different functions meet the conditions
on the interval I.e., the derivative is always positive.
However, all of them have two features in common. Which of the following are common
features for all functions that meet the above conditions? Select all that apply.
f(3) = 4f '(x) > 0 (−∞,∞).
f passes through the point (3, 4).
f passes through the point (4, 3).
f is increasing.
f is decreasing.
4. Question Details curve sketch 2 [3088049]
Suppose is a function such that
The domain of f is [1,1]. on its domain.
Which of the following is a possible graph of
f(x)
f(0) = −1
f '(x) < 0
f(x) ?
5. Question Details curve sketch 3a [3088061]
Suppose is a function such that
The domain of f is [0,10]. on the interval (0,5). on the interval (5,10).
On your own graph paper make a possible sketch of the function .
It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph.
Note: Only 6 submissions allowed, but you lose a half point per submission.
Which of the following statements are true about the function f? Select all that apply.
Keep your graph you created. You will need it on the next problem and may be asked to hand it in for feedback.
f(x)
f(0) = 2
f '(x) > 0f '(x) < 0
f(x)
f passes through the point (0,2).
f passes through the point (2,0).
f is increasing on the interval (0,5).
f is increasing on the interval (5,10).
f is decreasing on the interval (0,5).
f is decreasing on the interval (5,10).
The slope of f is 2
6. Question Details curve sketch 3b [3088050]
In the previous problem you created a graph for the function such that
The domain of f is [0,10]. on the interval (0,5). on the interval (5,10).
Use your graph to answer the following questions. You get only two attempts at each question. Be sure you get feedback onyour graph first.
1. List all locations where f has a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localmaxima, enter DNE.
2. List all locations where f has a local minimum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localminima, enter DNE.
Local Minimum at
Keep your graph you created, you may be asked to hand it in for feedback.
f(x)
f(0) = 2
f '(x) > 0f '(x) < 0
Local Maximum at x =
x =
7. Question Details curve sketch 4a [3088051]
Suppose is a function such that
The domain of f is [5,5].The graph of f ' is
On your own graph paper make a possible sketch of the function .
It is not possible for webassign to check your graph, so get feedback. Then answer the following question about your graph.
Note: Only 6 submissions allowed, but you lose a half point per submission.
Which of the following statements is true about the function f? Select all that apply.
f(x)
f(2) = 4
f(x)
Keep your graph you created. You will need it on the next problem and may be asked to hand it in for feedback.
f passes through the point (2,0).
f passes through the point (2,4).
f is increasing on the interval (−5,2).
f is decreasing on the interval (2,5).
f is decreasing on the interval (−5,5).
At the point x = 3, the slope of f is −1.
The slope of f is −1.
8. Question Details curve sketch 4b [3088052]
In the previous problem you created a graph for the function such that
The domain of f is [5,5].The graph of f ' is
Use your graph to answer the following question. You get only two attempts at each question. Be sure you get feedback onyour graph first.
1. List all locations where f has a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localmaxima, enter DNE.
f(x)
f(2) = 4
Local Maximum at x =
2. List all locations where f has a local minimum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localminima, enter DNE.
Local Minimum at x =
9. Question Details curve sketch 5a [3088053]
Suppose is a function such that
The domain of f is (∞,∞).The graph of f ' is
On your own graph paper make a possible sketch of the function .
It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph.
Note: Only 6 submissions allowed, but you lose a half point per submission.
Which of the following statements are true about the function f? Select all that apply.
f(x)
f(1) = 2
f(x)
Keep the graph you created. You will need it on the next problem and may be asked to hand it in for feedback.
f passes through the point (5,0).
f is decreasing on the interval (2.5,∞).
The slope of f is zero at the point x = 2.5.
f is decreasing on the interval (−∞,0).
The slope of f is zero at the point x = 5.
f is increasing on the interval (−∞,2.5).
f is increasing on the interval (0,5).
10. Question Details curve sketch 5b [3088054]
In the previous problem you created a graph for the function such that
The domain of f is (∞,∞).The graph of f ' is
Use your graph to answer the following question. You get only two attempts at each question. Be sure you get feedback onyour graph first.
1. List all locations where f has a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localmaxima, enter DNE.
f(x)
f(1) = 2
Local Maximum at x =
2. List all locations where f has a local minimum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localminima, enter DNE.
Local Minimum at x =
11. Question Details curve sketch 6a [3088055]
Suppose is a function such that
The domain of f is [3,3].The graph of f ' is
On your own graph paper make a possible sketch of the function .
It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph.
Note: Only 6 submissions allowed, but you lose a half point per submission.
Which of the following statements are true about the function f? Select all that apply.
f(x)
f(1) = 3
f(x)
Keep your graph you created. You will need it on the next problem and may be asked to hand it in for feedback.
f passes through the point (0.5,0.1).
f is increasing on the interval (−3,3).
At the point x = 0.5, the slope of f is 0.
f is sometimes increasing and sometimes decreasing.
f passes through the point (1,3).
f is decreasing on the interval (−3,0.5)
At the point x = 0.5, the slope of f is 0.1.
12. Question Details curve sketch 6b [3088056]
In the previous problem you created a graph for the function such that
The domain of f is [3,3].The graph of f ' is
Use your graph to answer the following question. You get only two attempts at each question. Be sure you get feedback onyour graph first.
1. List all locations where f has a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localmaxima, enter DNE.
f(x)
f(1) = 3
Local Maximum at x =
Name (AID): Curve Sketching Intro: Basic (10862413)
Submissions Allowed: 100
Category: Homework
Code:
Locked: Yes
Author: Velasquez, Elena ( [email protected] )
Last Saved: Aug 15, 2017 11:01 AM MDT
Group: BSU Calculus
Randomization: Person
Which graded: Last
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Assignment Details
2. List all locations where f has a local minimum. Enter your answers as a comma separated list. Do not include endpoints. If there are no localminima, enter DNE.
Local Minimum at x =
