Question

Which equation is represented by the graph below?

On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 1).
y = l n x
y = l n x + 1
y = e Superscript x
y = e Superscript x Baseline + 1

Answer 1

y = e^x.

Reason: e^0 = 1 so the graph crosses the y-axis at (0,1). For x < 0, e^x is positive and less than 1 (points in quadrant II), and for x > 0 it increases into quadrant I. ln x (and ln x + 1) are undefined at x = 0, and e^x + 1 gives y = 2 at x = 0.