Question

Help please? Should be easy!

Answer 1

I think It is B!

Answer 2

p(x) looks like a parabola.
And also, an exponential function rises faster than a polynomial function as the power is 'x' in the exponential function.

For eg.
e^x = 2.71^x rises faster.

Thus, t(x) must be the exponential function as it has greater values of t(x) than p(x) for the same 'x'.

Understood? :)

Here is a proof: http://math.stackexchange.com/questions/55468/how-to-prove-that-exponential-grows-faster-than-polynomial

Also remember, an exponential function say, 2^x always must pass through (0,1) because when x=0, the function value of that exponential function is always 1, because 2^0 = 1 always.

Answer 3

So that means it is D...I think i understand...

Answer 4

Yes, D should be correct.

Because if you notice, for value of x<0.
t(x) actually has smaller values than p(x) for the same 'x'.
So after it intersects, t(x) is the function which eventually surpasses the p(x) in the function value for the same 'x'.