Which of the following is the function representing the graph below? graph begins in the second quadrant near the x axis and increases slowly while crossing the ordered pair 0, 1. When the graph enters the first quadrant, it begins to increase quickly throughout the graph.

Your description corresponds to an exponential function.

So it is of the kind f (x) = A (e^kx)

Given that the pair (0,1) is in the graph, you can determine that A = 1:

1 = A (e ^ k*0)

=> 1 = A e^0

=> 1 = A

So, the function is of the kind f (x) = e^ (kx).

Where x is any positive value.

With that you can choose the right answer among your options.