5. Let f(r) be a function that is defined everywhere. Given to the right is a first derivative sign chart for f(x). Use the sign chart to answer the true/false questions that follow. Write out the entire word "True" or "False", and make it clear which answer goes with which part of the problem. IF YOU CHOOSE FALSE, BRIEFLY EXPLAIN WHY. 3 f'(x) (a) The sign chart indicates that f(x) is concave down on the interval (3, o0). (i) TRUE (ii) FALSE (b) The sign chart indicates that f(z) has a local maximum value at z = 3. (i) TRUE (ii) FALSE (c) The sign chart indicates that f(r) has a local minimum value at z=-2. (i) TRUE (ii) FALSE

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
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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5. Let f(x) be a function that is defined everywhere. Given to the
right is a first derivative sign chart for f(r). Use the sign chart to
answer the true/false questions that follow. Write out the entire
word "True" or "False", and make it clear which answer goes
with which part of the problem. IF YOU CHOOSE FALSE,
BRIEFLY EXPLAIN WHY.
-2
f'(x)
(a) The sign chart indicates that f(r) is concave down on the interval (3, o0).
(i) TRUE
(ii) FALSE
(b) The sign chart indicates that f(z) has a local maximum value at z = 3.
(i) TRUE
(ii) FALSE
(c) The sign chart indicates that f(r) has a local minimum value at z = -2.
(i) TRUE
(ii) FALSE
(d) The sign chart indicates that f(r) has a critical point at z= -2.
(i) TRUE
(ii) FALSE
(e) The sign chart indicates that f(r) is above the r-axis on (-x0, –2) and on (-2,3).
(i) TRUE
(ii) FALSE
Transcribed Image Text:5. Let f(x) be a function that is defined everywhere. Given to the right is a first derivative sign chart for f(r). Use the sign chart to answer the true/false questions that follow. Write out the entire word "True" or "False", and make it clear which answer goes with which part of the problem. IF YOU CHOOSE FALSE, BRIEFLY EXPLAIN WHY. -2 f'(x) (a) The sign chart indicates that f(r) is concave down on the interval (3, o0). (i) TRUE (ii) FALSE (b) The sign chart indicates that f(z) has a local maximum value at z = 3. (i) TRUE (ii) FALSE (c) The sign chart indicates that f(r) has a local minimum value at z = -2. (i) TRUE (ii) FALSE (d) The sign chart indicates that f(r) has a critical point at z= -2. (i) TRUE (ii) FALSE (e) The sign chart indicates that f(r) is above the r-axis on (-x0, –2) and on (-2,3). (i) TRUE (ii) FALSE
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,