Graphing Exponential & Logarithm Functions

Front

What is the parent function of an exponential function?

Back

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

Front

What happens to the graph of y = a^x when 'a' is greater than 1?

Back

The graph shows exponential growth.

Front

What happens to the graph of y = a^x when 'a' is between 0 and 1?

Back

The graph shows exponential decay.

Front

What is a vertical shift in the context of graphing functions?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What is the effect of adding a constant to an exponential function, such as y = a^x + k?

Back

It results in a vertical shift of the graph by 'k' units.

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph approaches but never touches.

Front

What is the horizontal asymptote of the function y = a^x?

Back

The horizontal asymptote is y = 0.

Front

What is the domain of the function y = a^x?

Back

The domain is all real numbers, (-∞, ∞).

Front

What is the range of the function y = a^x?

Back

The range is (0, ∞) for a > 0.

Front

How do you identify exponential decay from a function?

Back

If the base 'a' is between 0 and 1, the function represents exponential decay.