Question

Which of the following shows the graph of y = 2 e Superscript x
On a coordinate plane, a curve starts in quadrant 4 at (0, negative 3) and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0).
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 4).
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 2).
On a coordinate plane, a curve approaches the y-axis in quadrant 4 and then increases into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).

Answer 1

The third description. For y = 2e^x we have y(0) = 2, y > 0 for all x and y → 0 as x → −∞, and the function is increasing. That matches the curve that approaches the x-axis on the left and crosses the y-axis at (0,2).