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anonymous

  • one year ago

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically? x f(x) g(x) 1 3 3 2 6 9 3 11 27 4 18 81 5 27 243

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  1. anonymous
    • one year ago
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    f(x), because it grows faster than g(x) g(x), because it will not intersect f(x) g(x), because it grows slower than f(x) f(x), because it grows slower than g(x)

  2. Photon336
    • one year ago
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    F(x) = AX^n+BX+C = quadratic Exponential f(x) = n^x

  3. Photon336
    • one year ago
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    They intersect at the point (1,3) so that choice that says that is wrong

  4. Photon336
    • one year ago
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    I would say F(x) because it grows slower than g(x) that's how we know f(x) is quadratic.

  5. anonymous
    • one year ago
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    Phantom336 is correct. Something that really stuck out in this problem is the way that these functions would be graphed. Look at g(x). When x=1 y=3 When x=2 y=9 When x=3 y=27 When x=4 y=81 When x=5 y=243 Notice that y is increasing exponentially (which kind of gives away that g(x) is the exponential function. \[3^{1}=3; 3^{2}=9; 3^{3}=27; 3^{4}=81; 3^{5}=243\] Also notice that the graph would curve upwards which is an indicator of an exponential function: |dw:1437156125861:dw| So there are a few quick tricks to use when you see this kind of problem again in the future. Hope it helps!

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