1 false
a^x is exponential, for any positive a.
#2 false, since 1^x is constant.
True or False. If possible kindly explain why so that I can understand it. Thanks much.
1. f(x) = 1^x is not an exponential function.
2. Every exponential function is strictly increasing.
2 answers
Most mathematical authorities define an exponential function as
f(x) = a^x, where a is any positive number, a ≠ 1, and x is any real number
so #1 is True
#2, what about y = (1/2)^x
as x increases, y decreases, so False
f(x) = a^x, where a is any positive number, a ≠ 1, and x is any real number
so #1 is True
#2, what about y = (1/2)^x
as x increases, y decreases, so False
1 answer