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love_to_love_you

  • one year ago

The equation below represents a function. f(x)=2x^2-9 What is the average rate of change of the function over the interval 3 <= x <= 6

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  1. SolomonZelman
    • one year ago
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    you just need to find the slope [of the secant] from the point wehre x=3, to the point where x=6.

  2. SolomonZelman
    • one year ago
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    So, first, can you find \(f(3)\) and \(f(6)\) for me?

  3. love_to_love_you
    • one year ago
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    9 and 63?

  4. SolomonZelman
    • one year ago
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    yes correct. f(3)=9 f(6)=63 Now, the slope between these 2 points is: \({\rm m}=\dfrac{f(6)-f(3)}{6-3}=\dfrac{63-9}{6-3}=?\)

  5. love_to_love_you
    • one year ago
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    54/3=18

  6. SolomonZelman
    • one year ago
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    So the average rate of change on the interval [3,6] is 18

  7. SolomonZelman
    • one year ago
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    any questions?

  8. love_to_love_you
    • one year ago
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    Could you help me with another question?

  9. SolomonZelman
    • one year ago
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    yes, I think I can

  10. love_to_love_you
    • one year ago
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    Which of the following functions represents a geometric sequence? Why? a. The function f(x) = x^3 represents a geometric sequence because each term is cubed to make it greater. b. The function f(x) = 4x represents a geometric sequence because each term is the next higher multiple of 4. c. The function f(x) = 4x- 4 represents a geometric sequence because each term is 4 more than the previous term. d. The function f(x) = 4^x represents a geometric sequence because each term is 4 times as great as the previous term.

  11. love_to_love_you
    • one year ago
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    @SolomonZelman

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