Question

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
What are the domain and range of the function on the graph?

The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.

Answer 1

Domain: all real numbers. Range: y > 0.

Reason: An exponential function is defined for every real x, and with a horizontal asymptote y = 0 it never reaches 0, so y is always positive. (So choose: domain includes all real numbers, and the range is y > 0.)