Consider the graph of a function f on the interval [0,4]. y 10 8- 6+ 4 2 0 1 2 3 4 -X. Identify all correct statements about the extreme values of f. f has two local maxima. f has one local minimum. Of has five critical points. has an absolute maximum at a critical point and an absolute minimum at an endp

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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4-7
Consider the graph of a function f on the interval [0,4].
y
8
M
6
4
10
U
2
0
1
2
3
4
X.
Identify all correct statements about the extreme values of f.
f has two local maxima.
f has one local minimum.
f has five critical points.
f has an absolute maximum at a critical point and an absolute minimum at an endpoint.
f has three local minima.
Ques
Transcribed Image Text:Consider the graph of a function f on the interval [0,4]. y 8 M 6 4 10 U 2 0 1 2 3 4 X. Identify all correct statements about the extreme values of f. f has two local maxima. f has one local minimum. f has five critical points. f has an absolute maximum at a critical point and an absolute minimum at an endpoint. f has three local minima. Ques
Let f(x) = 2x² - 8x + 1.
(a) Find the critical point c of f and compute f(c).
(Give your answers as whole numbers.)
C=
f(c) =
(b) Find the extreme values of f on [0,5].
(Give your answers as whole numbers.)
Maximum:
Minimum:
(c) Find the extreme values of f on [-4,1].
Transcribed Image Text:Let f(x) = 2x² - 8x + 1. (a) Find the critical point c of f and compute f(c). (Give your answers as whole numbers.) C= f(c) = (b) Find the extreme values of f on [0,5]. (Give your answers as whole numbers.) Maximum: Minimum: (c) Find the extreme values of f on [-4,1].
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