6.2 Exponential Key Charateristics

Front

What is the range of an exponential function?

Back

y > 0

Front

What 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

If a population doubles every 3 months, how do you express the population after 2 years?

Back

y = 400(2^8)

Front

When is an exponential function decreasing?

Back

Never

Front

What is an exponential function?

Back

A function of the form f(x) = a * b^x, where a > 0 and b > 1.

Front

What does the base of an exponential function represent?

Back

The factor by which the function grows or decays.

Front

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

Back

A larger base results in faster growth.

Front

What is the y-intercept of an exponential function?

Back

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

Front

How does the graph of an exponential function behave as x approaches negative infinity?

Back

The graph approaches the horizontal asymptote.