Sketch a graph of a function that has the features to match the following: (our pictures may vary little bit.) 1. It has x intercepts at x=1 and x=5 2. It has y intercept at y=1 3. The 1st derivative and 2nd derivative of the function follows the table below: X X<2 X=2, 24 f'(x) negative negative negative 0 positive positive f"(x) negative 0 positive positive positive positive 1. At what x value(s) does the function have critical points? 2. At what x value does the function have a relative max (if any)? 3. At what x value does the function have a relative min (if any)? 4. At what x value(s) does the function have a point of inflection (if any)? 5. List the intervals where the function is increasing. 6. List the ervals where the function is decreasing. 7. List the intervals where the function is concave up. 8. List the intervals where the function is concave down. 9. Sketch the function.
Sketch a graph of a function that has the features to match the following: (our pictures may vary little bit.) 1. It has x intercepts at x=1 and x=5 2. It has y intercept at y=1 3. The 1st derivative and 2nd derivative of the function follows the table below: X X<2 X=2, 24 f'(x) negative negative negative 0 positive positive f"(x) negative 0 positive positive positive positive 1. At what x value(s) does the function have critical points? 2. At what x value does the function have a relative max (if any)? 3. At what x value does the function have a relative min (if any)? 4. At what x value(s) does the function have a point of inflection (if any)? 5. List the intervals where the function is increasing. 6. List the ervals where the function is decreasing. 7. List the intervals where the function is concave up. 8. List the intervals where the function is concave down. 9. Sketch the function.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 47CR
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![Sketch a graph of a function that has the features to match the following: (our pictures may vary
little bit.)
1. It has x intercepts at x=1 and x=5
2. It has y intercept at y=1
3. The 1st derivative and 2nd derivative of the function follows the table below:
X
X<2
X=2,
2<x<3
x=3
3<x<4
x>4
f'(x)
negative
negative
negative
0
positive
positive
f"(x)
negative
0
positive
positive
positive
positive
1. At what x value(s) does the function have critical points?
2. At what x value does the function have a relative max (if any)?
3. At what x value does the function have a relative min (if any)?
4. At what x value(s) does the function have a point of inflection (if any)?
5. List the intervals where the function is increasing.
6. List
intervals where the function is decreasing.
7. List the intervals where the function is concave up.
8. List the intervals where the function is concave down.
9. Sketch the function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F714b8790-66ad-49a9-8b69-bc3e4b580027%2F78f0b1c2-eb2e-4c70-bc55-070591c7a20f%2Fa6fszph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sketch a graph of a function that has the features to match the following: (our pictures may vary
little bit.)
1. It has x intercepts at x=1 and x=5
2. It has y intercept at y=1
3. The 1st derivative and 2nd derivative of the function follows the table below:
X
X<2
X=2,
2<x<3
x=3
3<x<4
x>4
f'(x)
negative
negative
negative
0
positive
positive
f"(x)
negative
0
positive
positive
positive
positive
1. At what x value(s) does the function have critical points?
2. At what x value does the function have a relative max (if any)?
3. At what x value does the function have a relative min (if any)?
4. At what x value(s) does the function have a point of inflection (if any)?
5. List the intervals where the function is increasing.
6. List
intervals where the function is decreasing.
7. List the intervals where the function is concave up.
8. List the intervals where the function is concave down.
9. Sketch the function.
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