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Math Help - Simple Concavity Question

  1. #1
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    Simple Concavity Question

    The function y=f(x) has second derivative . Find the intervals on which y=f(x) is concave down. Give your answer using interval notation. Use infinity U for union if required.

    I know this is a pretty simple question, but I couldn't make it to this lecture. I'm pretty sure your supposed to find the points of inflection and then put them in a table to find where it's concave down but every time I try this I get an incorrect answer. Thanks Alot!
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  2. #2
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    Re: Simple Concavity Question

    Quote Originally Posted by poipoipoi10 View Post
    The function y=f(x) has second derivative . Find the intervals on which y=f(x) is concave down. Give your answer using interval notation. Use infinity U for union if required.

    I know this is a pretty simple question, but I couldn't make it to this lecture. I'm pretty sure your supposed to find the points of inflection and then put them in a table to find where it's concave down but every time I try this I get an incorrect answer. Thanks Alot!
    set f''(x) = 0 , plot the zeros on a number line, and evaluate f''(x) for a single value of x from each interval between zeros ... f(x) is concave down on those intervals where f''(x) < 0.
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  3. #3
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    Re: Simple Concavity Question

    Thanks!
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