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 is the general form of an exponential function?

Back

f(x) = a * b^x, where a ≠ 0 and b > 0

Front

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

Back

The function approaches 0.

Front

What is the effect of changing the base 'b' in an exponential function?

Back

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

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

How do you find the y-intercept of an exponential function?

Back

Evaluate f(0), which equals a.

Front

What is the relationship between exponential functions and logarithms?

Back

Logarithms are the inverse of exponential functions.