Which function is represented by the graph below?

On a coordinate plane, a curve opens up and left in quadrants 1 and 2. In quadrant 2, the curve approaches the negative x-axis as an asymptote, curves up crossing the y-axis at (0, 1), and increases rapidly in quadrant 1, passing near the point (1, 2.7).

1 answer

This graph likely represents the function y = e^x.

Exponential functions with a positive base greater than 1 have a graph that opens up and to the left, with an asymptote in the negative x-axis in the second quadrant. The curve crosses the y-axis at (0, 1) because e^0 = 1. The rapid increase in quadrant 1 is characteristic of exponential functions. Near the point (1, 2.7), the exponential function y = e^x approaches a value close to 2.7.
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