key features of logs and exponential

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is f(x) = a^x, where a > 0 and a ≠ 1.

Front

What is the asymptote of an exponential function?

Back

The asymptote of an exponential function is y = 0.

Front

What is the base of the common logarithm?

Back

The base of the common logarithm is 10.

Front

What is the natural logarithm represented as?

Back

The natural logarithm is represented as ln.

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers.

Front

What is the point (0,1) in the context of exponential functions?

Back

The point (0,1) is the y-intercept of the exponential function, indicating that f(0) = 1.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What is the domain of a logarithmic function?

Back

The domain of a logarithmic function is x > 0.

Front

How do exponential functions behave as x approaches infinity?

Back

As x approaches infinity, exponential functions grow without bound.

Front

How do logarithmic functions behave as x approaches 0 from the right?

Back

As x approaches 0 from the right, logarithmic functions approach negative infinity.