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  1. #1
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    graph question

    Greetings all,

    Have a hard time with a homework question with this graph:



    The problem states: Consider the section of the function shown below.

    a) How many distinct (different) real zeros does the function have? ___

    b) Approximate their values. _____

    c) If the degree of the function is known to be 6, then state how many real zeros and how many complex zeros it would have.
    Complex zeros. _____
    Real Zeros. _____

    d) Is it possible that this is a portion of a 7th degree function? why?

    That is a lot of question that I am baffled on. Some direction or steps would be great if possible.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Cade02 View Post
    Greetings all,

    Have a hard time with a homework question with this graph:



    The problem states: Consider the section of the function shown below.

    a) How many distinct (different) real zeros does the function have? ___
    Tangent to x-axis = negative double root
    2 positive real roots

    Quote Originally Posted by Cade02 View Post
    b) Approximate their values. _____
    Look at the graph.
    Quote Originally Posted by Cade02 View Post

    c) If the degree of the function is known to be 6, then state how many real zeros and how many complex zeros it would have.
    Complex zeros. _____
    Real Zeros. _____
    We've already stated the real zeros. That would leave 2 complex zeros if the degree were 6.
    Quote Originally Posted by Cade02 View Post

    d) Is it possible that this is a portion of a 7th degree function? why?
    No. There are 3 direction changes in the graph. This is an even function.
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