Use the graph of f to determine each of the following. (a) the domain of f (b) the range of f (c) the zero(s) of f (d) f(– 4.5) (e) the intervals on which f is increasing (f) the intervals on which f is decreasing (g) the values for which f(x) <0 (h) any relative maxima or minima (i) the value(s) of x for which f(x) = 3 (1) Is f(– 1) positive or negative? Ay X -8--4 -22 6 8 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) The domain of f is
(Type your answer in interval notation,)
(b) The range of f is
(Type your answer in interval notation.)
(c) The zero(s) of f are - 5 and
(d) f( – 4.5) =
(e) The interval on which f is increasing is
(Type your answer in interval notation.)
(f) The interval on which f is decreasing is
(Type your answer in interval notation.)
(g) Which interval or union of intervals represents the values for which f(x) <0? Select the correct choice below and fill in the answer boxes to complete your choice.
O A.
O B. (ODU
OC.
O D. (Oju)
OE.
OF.
(h) The function has no smallest value over any open interval so there is no relative minimum.
The relative maximum of the graph is where f(x) =|:
(i) f(x) = 3 where x=| (Use a comma to separate answers as needed.)
1) Is f( - 1) positive or negative?
Positive
Negative
Transcribed Image Text:(a) The domain of f is (Type your answer in interval notation,) (b) The range of f is (Type your answer in interval notation.) (c) The zero(s) of f are - 5 and (d) f( – 4.5) = (e) The interval on which f is increasing is (Type your answer in interval notation.) (f) The interval on which f is decreasing is (Type your answer in interval notation.) (g) Which interval or union of intervals represents the values for which f(x) <0? Select the correct choice below and fill in the answer boxes to complete your choice. O A. O B. (ODU OC. O D. (Oju) OE. OF. (h) The function has no smallest value over any open interval so there is no relative minimum. The relative maximum of the graph is where f(x) =|: (i) f(x) = 3 where x=| (Use a comma to separate answers as needed.) 1) Is f( - 1) positive or negative? Positive Negative
Use the graph of f to determine each of the following.
(a) the domain of f
(b) the range of f
(c) the zero(s) of f
(d) f(- 4.5)
(e) the intervals on which f is increasing
(f) the intervals on which f is decreasing
(g) the values for which f(x) < 0
(h) any relative maxima or minima
(i) the value(s) of x for which f(x) = 3
(i) Is f(- 1) positive or negative?
Ay
-8--4-22-
4
6 8 10
Transcribed Image Text:Use the graph of f to determine each of the following. (a) the domain of f (b) the range of f (c) the zero(s) of f (d) f(- 4.5) (e) the intervals on which f is increasing (f) the intervals on which f is decreasing (g) the values for which f(x) < 0 (h) any relative maxima or minima (i) the value(s) of x for which f(x) = 3 (i) Is f(- 1) positive or negative? Ay -8--4-22- 4 6 8 10
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