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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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

Algebra
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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)
F(x) = AX^n+BX+C = quadratic Exponential f(x) = n^x
They intersect at the point (1,3) so that choice that says that is wrong

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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.
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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