Question

What is the domain of the function y = 2 e Superscript x graphed below? On a coordinate plane, a curve starts in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2). all real numbers greater than 2 all positive real numbers all negative real numbers all real numbers

Answer 1

The domain of the function y = 2^x is all real numbers.

In the given graph, the curve starts in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2). This indicates that the function is defined for all real numbers.

The exponential function y = 2^x is defined for any value of x, whether positive, negative, or zero. The graph of an exponential function, such as y = 2^x, extends indefinitely in both the positive and negative x-directions.

Therefore, the domain of the function y = 2^x is all real numbers.