Exponential Functions

Front

What is the RANGE of an exponential function?

Back

y > 0

Front

Where is the horizontal asymptote of an exponential function?

Back

y = 0

Front

What is the DOMAIN of an exponential function?

Back

All real numbers

Front

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

Back

The function approaches 0.

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a ≠ 0 and b > 0.

Front

What does the base 'b' in an exponential function represent?

Back

The growth (b > 1) or decay (0 < b < 1) factor.

Front

How does changing the value of 'a' in f(x) = a * b^x affect the graph?

Back

It vertically stretches (if |a| > 1) or compresses (if |a| < 1) the graph.

Front

What is an example of an exponential growth function?

Back

f(x) = 2^x.

Front

What is an example of an exponential decay function?

Back

f(x) = (1/2)^x.

Front

What is the y-intercept of an exponential function?

Back

The y-intercept is at (0, a) where a is the initial value.