(a)At what x does f(x) have a local(relative) maximum? If there are none, say so. (b) what x does f(x) have a local(relative) minimum? If there are none, say so. (c) At what x does the graph of f(x) have an inflection point? If there are none, say so.
(a)At what x does f(x) have a local(relative) maximum? If there are none, say so. (b) what x does f(x) have a local(relative) minimum? If there are none, say so. (c) At what x does the graph of f(x) have an inflection point? If there are none, say so.
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 289E: How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this...
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question attached. it has multiple parts a-g. it is split into 2 attachments
Transcribed Image Text:(5). Consider a function f(x) with the following properties:
• f(x) is continuous at all values of x except for –3, 2, and 7
• f'(x) > 0 on the intervals (-6, –3), (-3,0), and (7, +0).
• f'(x) < 0 on the intervals (-o0, -6). (0, 2), (2, 5), and (5, 7).
• f"(x) > 0 on the intervals (-8, –3) and (2,5).
f"(x) < 0 on the intervals (-0, -8), (-3,2), (5, 7),and (7, 0).
• f(-8) = -4, f(-3) = 0, and f(5) = 5
lim f(x) = -3 and lim f(x) = +0
X-00
lim f(x) = -3 and lim f(x) = 3
X-3-
X-3+
• lim f(x) = -o and lim f(x) = +0
X+2-
X+2+
• lim f(x) = -∞ and lim f(x) =-00
X7-
X+7+
Respond to the following using this information. You do not need to show work for
parts (a) through (d). The problem continues on the next page.
(a)At what x does f(x) have a local(relative) maximum? If there are none, say so.
(b) what x does f(x) have a local(relative) minimum? If there are none, say so.
(c) At what x does the graph of f (x) have an inflection point? If there are none, say
so.
(d)What is (are) the asymptote(s) of f(x)? If there are none, say so.
(e)Does f(x) have a global(absolute) maximum? Why or why not?
(f)Does f(x) have a global(absolute) minimum? Why or why not?
Transcribed Image Text:Problem (5), continued
(g) Sketch the graph of f(x) as accurately as possible, using the information from the
previous page. You may use the graph paper included below.
10-
-5-
|-10
-5
5.
10
-5-
--10-
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