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Math Help - graphs question 2

  1. #1
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    Question graphs question 2


    1. Determine the number of times the graphs of f(x)=2^x3-4^x+1 and g(x)-3^x-2 =intersect for x between -5 and 5. Enter your answer as a simple number such as 0, 1, 2 etc.
    (Hint: Graph both functions by placing one of them in Y1 and the other in Y2.)

    2. A breeding group of beavers is introduced into a protected area. After t years the number of beavers in the area is modeled by the function
    N(t)= 54/0.35+0.68t
    1. How many beavers were initially introduced?
    2. Estimate the number of beavers after 5 years.
    3. Determine the change in the beaver population between t = 5 and t = 10.
    (Note: All answers are whole numbers.)



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  2. #2
    Senior Member mollymcf2009's Avatar
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    f(x)=2^x3-4^x+1 and g(x)-3^x-2

    First, I need to clarify what the functions are. It is hard to tell what you've got here.

    Is that
    f(x) = 2^{x^{3}}-4^{x+1} and g(x) = -3^{x-2} ?
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    yes thats correct
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  4. #4
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    Quote Originally Posted by amathgizzard View Post
    1. Determine the number of times the graphs of f(x)=2^x3-4^x+1 and g(x)-3^x-2 =intersect for x between -5 and 5. Enter your answer as a simple number such as 0, 1, 2 etc.
    (Hint: Graph both functions by placing one of them in Y1 and the other in Y2.)

    Mr F asks: Did you graph them ....?

    2. A breeding group of beavers is introduced into a protected area. After t years the number of beavers in the area is modeled by the function

    N(t)= 54/0.35+0.68t

    1. How many beavers were initially introduced?

    Mr F says: Substitute t = 0.

    2. Estimate the number of beavers after 5 years.

    Mr F says: Substitute t = 5.

    3. Determine the change in the beaver population between t = 5 and t = 10.
    (Note: All answers are whole numbers.)

    Mr F says: Calculate N(10) - N(5). N(5) has been found from part 2.


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    In the beaver question you are substituting values of t into the rule. Use your calculator to get the value of N.
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