8. For the function f(x) = 2.r3 – 3.rº - 362 which of the following state- ments is true ? (A) 0 is the only critical number (B) there are three critical numbers (C) there are no critical numbers (D) -2 and 3 are the critical numbers (E) statements A,B,C,D are false

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Trinidad TremblayLv2

27 Jun 2018

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From the graph below, observe any critical number(s), and describe corresponding slope(s) of the function.

Question options:

	1) There's only one critical number at x=0.5 with corresponding f'(0.5)=0.
	2) One critical number is x=0 with corresponding f'(0)>0. One critical number is x=1 and there is no corresponding slope of the function because f'(1) does not exist.
	3) One critical number is x=0 with corresponding f'(0)>0. Another critical number is x=1 with corresponding f'(1)<0.
	4) There's only two critical numbers at x=0.5 and x=1.0 with corresponding slopes at infinity.
	5) One critical number is x=0 and there is no corresponding slope of the function because f'(0) does not exist. Another critical number is x=1 with corresponding f'(1)<0.
	6) One critical number is x=0 with corresponding f'(0)>0. Another critical number is x=1 with corresponding f'(1)=0.
	7) One critical number is x=0 with corresponding f'(0)=0. Another critical number is x=1 with corresponding f'(1)>0.
	8) One critical number is x=0 with corresponding f'(0)>0. Another critical number is x=1 with corresponding f'(1)>0.
	9) One critical number is x=0 and there is no corresponding slope of the function because f'(0) does not exist. Another critical number is x=1 with corresponding f'(1)=0.
	10) One critical number is x=0 and there is no corresponding slope of the function because f'(0) does not exist. Another critical number is x=1 with corresponding f'(1)>0.