A.9A - Exponential Domain and Range

Front

What is the range of an exponential function?

Back

The range of an exponential function is 0 < y ≤ ∞.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is -∞ ≤ x ≤ ∞.

Front

What does the notation y > 0 signify in the context of exponential functions?

Back

It signifies that the output (y) of the function is always greater than zero.

Front

What is the domain of the exponential function graphed on a coordinate plane?

Back

The domain is all real numbers.

Front

What is the range of the exponential function when it approaches a horizontal asymptote?

Back

The range is y > k, where k is the value of the horizontal asymptote.

Front

How does the base of an exponential function affect its growth?

Back

A larger base results in faster growth of the function.

Front

What is an asymptote in the context of exponential functions?

Back

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

Front

What is the general form of an exponential function?

Back

The general form is f(x) = a * b^x, where a is a constant and b is the base.

Front

What happens to the graph of an exponential function as x approaches negative infinity?

Back

As x approaches negative infinity, the value of f(x) approaches 0.

Front

What is the significance of the y-intercept in an exponential function?

Back

The y-intercept is the value of the function when x = 0, which is f(0) = a.