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Use the graph of f\' to identify the critical numbers of f, identify the open in

ID: 2853233 • Letter: U

Question

Use the graph of f' to identify the critical numbers of f, identify the open interval(s) on which f is increasing or decreasing, and determine whether fhas a relative maximum, a relative minimum, or neither at each critical number. (If an answer does not exist, enter DNE.) 4 4 6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) (ii) Identify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) i) Idetify the open interval(s) on which f is increasing or decreasing. (Enter your answer using interval notation.) increasing decreasing (ili) Determine whether f has a relative maximum, a relative minimum, or neither at each critical number. (Enter your answers as a comma-separated list.) relative minimum x = relati relative ve maximum x -

Explanation / Answer

a.)
1. 2
2. (2,infinity)
(-infi, 2)
3. DNE

b.)
1. 0,1
2. (-infi,0) U (1,infi)
(0,1)
3. 0 maxima, 2 minima

c.)
1 -1,0,1
2. (-infi,-1)U(0,1)
(-1,0)U(1,infi)
3. -1, 1 is maxima, 0 minima

d. -2,1,4
2. (-2,4)
(-infi,-2)U(4,infi)
-2 maxima , 4 minima

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