4.5- 1.5 Axx a b с -3 e -1.5+ -3 + -4.5 g The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of f.) Hint: Read the problem carefully. The graph represents the DERIVATIVE of the original function. For each interval, enter all letters whose corresponding statements are true for that interval. 1. The interval from a to b 2. The interval from b to c 3. The interval from c to d 4. The interval from d to e 5. The interval from e to f A. The slope of the original function is positive on this interval B. The slope of the original function is negative on this interval. C. The slope of the original function is increasing on this interval. D. The slope of the original function is decreasing on this interval. E. The original function is increasing on this interval. F. The original function is decreasing on this interval. G. The shape of the original function is concave up on this interval. H. The shape of the original function is concave down on this interval.

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.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 39E
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Question
4.5
1.51
A
a
с
-3
-1.5+
-3+
d e
-4.5
&
g
The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of f.) Hint: Read the problem carefully. The graph represents the DERIVATIVE of
the original function.
For each interval, enter all letters whose corresponding statements are true for that interval.
1. The interval from a to b
2. The interval from b to c
3. The interval from c to d
4. The interval from d to e
5. The interval from e to f
A. The slope of the original function is positive on this interval
B. The slope of the original function is negative on this interval.
C. The slope of the original function is increasing on this interval.
D. The slope of the original function is decreasing on this interval.
E. The original function is increasing on this interval.
F. The original function is decreasing on this interval.
G. The shape of the original function is concave up on this interval.
H. The shape of the original function is concave down on this interval.
Transcribed Image Text:4.5 1.51 A a с -3 -1.5+ -3+ d e -4.5 & g The graph shown is the graph of the SLOPE of the tangent line of the original function. (This slope is also called the derivative of f.) Hint: Read the problem carefully. The graph represents the DERIVATIVE of the original function. For each interval, enter all letters whose corresponding statements are true for that interval. 1. The interval from a to b 2. The interval from b to c 3. The interval from c to d 4. The interval from d to e 5. The interval from e to f A. The slope of the original function is positive on this interval B. The slope of the original function is negative on this interval. C. The slope of the original function is increasing on this interval. D. The slope of the original function is decreasing on this interval. E. The original function is increasing on this interval. F. The original function is decreasing on this interval. G. The shape of the original function is concave up on this interval. H. The shape of the original function is concave down on this interval.
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