Let's begin by listing out the given information:
The graph is a curve that crossed the y-intercept
It cannot be a quadratic function. The graph does not cross the x-intercept twice
It cannot be a cube root function. The graph does not cross the x-intercept thrice
It cannot be a linear function because it is not a straight line
The graph is the graph of an exponential function (the graph has the x-axis as an asymptote on the left, and increases very fast on the right)