Question

What is the range of the exponential function \[y=b^x\]?

Options

• All positive real numbers

• All real numbers \[\mathbb{R}\]

• Only \[0\] and \[1\]

• All negative real numbers

Answer 1

For \[b>0\] and \[b\ne1\], \[b^x\] is always positive. Thus, the range of \[y=b^x\] is all positive real numbers.