Question

Which equation is represented by the graph below?

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and then increases exponentially in quadrant 1. It crosses the x-axis at (0, 0.5).
y = one-eighth e Superscript x
y = one-half e Superscript x
y = 2 e Superscript x
y = 8 e Superscript x

Answer 1

y = (1/2)e^x

Reason: For y = A e^x the y-intercept is A. The graph has y(0) = 0.5, so A = 0.5 = 1/2, and as x → −∞ the curve approaches 0, matching the description.