Question

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.

Answer 1

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.