Exponential Parent Functions

Front

What is the exponential parent function?

Back

Front

Back

(0, 1)

Front

What is the range of the exponential parent function?

Back

Front

What is the domain of the exponential parent function?

Back

The domain is all real numbers.

Front

What does the term 'asymptote' refer to in exponential functions?

Back

An asymptote is a line that the graph approaches but never touches. For exponential functions, the horizontal asymptote is usually the x-axis (y=0).

Front

What is the general shape of the graph of an exponential function?

Back

The graph of an exponential function increases rapidly for positive x and approaches the x-axis for negative x.

Front

Back

If 'a' > 1, the function increases; if 0 < 'a' < 1, the function decreases.

Front

Back

The value is 1, since any number raised to the power of 0 is 1.

Front

What is the behavior of the exponential function as x approaches negative infinity?

Back

As x approaches negative infinity, the value of the function approaches 0.

Front

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

Back

It represents the y-intercept of the function, indicating that the function passes through this point.