Algebra I B Chapter 4

Front

What is the initial value in the exponential function y = 6.87(4)^x?

Back

The initial value is 6.87.

Front

Which equation represents exponential growth? y = 2(0.5)^x or y = 0.5(2)^x?

Back

y = 0.5(2)^x represents exponential growth.

Front

In an exponential function, what does 'a' represent?

Back

'a' represents the INITIAL AMOUNT.

Front

What is the asymptote of the function y = 2^x?

Back

The asymptote is y = 0.

Front

What is the domain of the function f(x) = 5^x?

Back

The domain is -∞ ≤ x ≤ ∞.

Front

Define exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What does the base in an exponential function indicate?

Back

The base indicates the growth or decay factor of the function.

Front

What is the range of the function f(x) = 2^x?

Back

The range is y > 0.

Front

How does the graph of an exponential growth function behave as x increases?

Back

The graph increases rapidly as x increases.

Front

What is the difference between exponential growth and decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.