Exp & Log Functions as Inverses ~ Fall 2023

Front

What is the inverse of an exponential function?

Back

A logarithmic function.

Front

True or False: The inverse of an exponential function is its reflection across the x-axis.

Back

False

Front

True or False: A logarithmic function is the inverse of an exponential function.

Back

True

Front

What line do the graphs of an exponential function and its inverse reflect over?

Back

y=x

Front

What is the general form of an exponential function?

Back

f(x) = a^x, where a > 0 and a ≠ 1.

Front

What is the general form of a logarithmic function?

Back

g(x) = log_a(x), where a > 0 and a ≠ 1.

Front

If f(x) = 2^x, what is f^-1(x)?

Back

f^-1(x) = log_2(x).

Front

What is the domain of an exponential function?

Back

All real numbers.

Front

What is the range of a logarithmic function?

Back

All real numbers.

Front

What is the domain of a logarithmic function?

Back

x > 0.