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For the Function : (A) Find the Critical Numbers

Question 13

Multiple Choice

For the function For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  : (a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
Use a graphing utility to confirm your results.


A) (a) For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(b) increasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; decreasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(c) relative max: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
B) (a) For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(b) increasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; decreasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(c) relative max: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
C) (a) For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(b) decreasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; increasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(c) relative min: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
D) (a) For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(b) decreasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; increasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(c) relative min: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; relative max: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
E) (a) For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(b) decreasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:  ; increasing: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:
(c) relative min: For the function   : (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results. A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   B)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   C)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   D)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:

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