218. f"(x) < 0 20126 -1 < x < 1, f"(x) > 0, -3 < x < -1, 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve 218, thanks!
stoligh
slapis dT EAS
1009 er
+
.5x
=) = (0\_JAS
= (01 TAS
216. and
x> 1, -3 < x <
450maliyiq 218.
-1+
For the following exercises, draw a graph that satisfies
the given specifications for the domain x= [-3, 3]. The
function does not have to be continuous or differentiable.
x - x = (x) ASS
f(x) > 0, f'(x) > 0
0, f'(x) = 0 over 0 < x < 1
217. f'(x) > 0
over -1 < x < 2, f"(x) < 0 for all x
over
ess
over x>2, -3 < x < -1, f'(x) < 0
f"(x) < 0
2012891000
.6
-1 < x < 1, f"(x) > 0, -3 < x < -1, 1<x<3, values
local maximum at x = 0, local minima at x = ±20
over
9v50000 bar
$130
219. There is a local maximum at x = 2, local minimum
at x = 1, and the graph is neither concave up nor concave
van art dois2 to anioq nobeni s b
down.
aswens may im of otsiuole s san
220. There are local maxima at x = ±1, the function is
concave up for all x, and the function remains positive for
all x.
(x)200-(x)=(x)\[T] LIES
evo
For the following exercises, determine
a. intervals where f is increasing or decreasing and
b. local minima and maxima of f.
=() [T] EES
221. f(x) = sinx + sin³ x over - < x < «
222. f(x) = x² + cos x
*-=601m acc
For the following exercises, determine a. intervals where f
is concave up or concave down, and b. the inflection points
of f.
[x,0) u (0,5)
(S-x) = (x) [T] JES
Transcribed Image Text:stoligh slapis dT EAS 1009 er + .5x =) = (0\_JAS = (01 TAS 216. and x> 1, -3 < x < 450maliyiq 218. -1+ For the following exercises, draw a graph that satisfies the given specifications for the domain x= [-3, 3]. The function does not have to be continuous or differentiable. x - x = (x) ASS f(x) > 0, f'(x) > 0 0, f'(x) = 0 over 0 < x < 1 217. f'(x) > 0 over -1 < x < 2, f"(x) < 0 for all x over ess over x>2, -3 < x < -1, f'(x) < 0 f"(x) < 0 2012891000 .6 -1 < x < 1, f"(x) > 0, -3 < x < -1, 1<x<3, values local maximum at x = 0, local minima at x = ±20 over 9v50000 bar $130 219. There is a local maximum at x = 2, local minimum at x = 1, and the graph is neither concave up nor concave van art dois2 to anioq nobeni s b down. aswens may im of otsiuole s san 220. There are local maxima at x = ±1, the function is concave up for all x, and the function remains positive for all x. (x)200-(x)=(x)\[T] LIES evo For the following exercises, determine a. intervals where f is increasing or decreasing and b. local minima and maxima of f. =() [T] EES 221. f(x) = sinx + sin³ x over - < x < « 222. f(x) = x² + cos x *-=601m acc For the following exercises, determine a. intervals where f is concave up or concave down, and b. the inflection points of f. [x,0) u (0,5) (S-x) = (x) [T] JES
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