A quadratic function and an exponential function are graphed below. Which graph most likely represents the quadratic function?
Graph and Answers:
I think its the second one but im not sure
the graph is so small it's so hard to differentiate the lines
@amistre64 can you help?
@iGreen @aaronq ?
@TheSmartOne
@confluxepic
@lilshane
@freckles
@Kainui
@geerky42
Exponential function always grows faster than quadratic function, so C makes sense.
Thank you, @geerky42 , do you mind if I as you two more questions?
Sure
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?
f(x), because it grows more slowly than g(x) f(x), because it eventually intersects g(x) g(x), because it grows faster than f(x) g(x), because it will not intersect f(x)
Again, exponential function always grows faster than quadratic function. So can you tell which grow slower?
I feel like f(x) is exponential because it isn't consistent
and it's growing way faster
Hmm, g(x) seem to grow by being multiplied by 2. 2*2=4; 4*2 = 8, 8*2 = 16, and so on
\(g(x)\) behaves like \(2^x\)
Right?
I believe so
So we can guess that g is exponential function. So we are left with A or B.
intersections don't really tell us much, so we better off going with A.
Thank you!
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