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Math Help - find critical numbers

  1. #16
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    Okey, i'm confused again.... So this function doesn't have a critical number. I should choose an answer E) as none of these???
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  2. #17
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    Quote Originally Posted by Samantha View Post
    Okey, i'm confused again.... So this function doesn't have a critical number. I should choose an answer E) as none of these???
    As no correct answer is listed, "none of these" is the most correct answer. So yes.

    -Dan
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  3. #18
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    Quote Originally Posted by Plato View Post
    Definitions do differ. In North America it is common to see the following:
    A critical number of a function f is a number c in the domain of f at which f (c)=0 or f (c) does not exist.
    Hello,

    I'm only curious and this post has nothing to do with Samantha's problem.

    If I take the definition I get:

    1. c belongs to the domain
    2. A critical number exists if f'(x) doesn't exist.

    In my opinion this takes place with functions like: f(x) = | x |

    1. 0 \in \mathbb{R}
    2. f(0) = 0 exists
    3. f'(0) doesn't exist. Thus x = 0 is a critical number

    Do I get this right?
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  4. #19
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    Yes, that is the way the definition is used here.
    0 is in the domain of f and f'(0) does not exist.
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  5. #20
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    Quote Originally Posted by Samantha View Post
    Okey, i'm confused again.... So this function doesn't have a critical number. I should choose an answer E) as none of these???
    The answer to that is: FOLLOW YOUR TEXTBOOK!
    What textbook is being used in the course?
    How does it define a critical number?
    If you are using one of the major texts that I listed above, the answer is E.
    BUT, you text may not agree with any of the major texts.
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  6. #21
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    Quote Originally Posted by Plato View Post
    The answer to that is: FOLLOW YOUR TEXTBOOK!
    What textbook is being used in the course?
    How does it define a critical number?
    If you are using one of the major texts that I listed above, the answer is E.
    BUT, you text may not agree with any of the major texts.
    Larson, Hostetler & Edwards, I guess the answer is E =)
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