Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a constant percentage over a period of time. It can be represented by the function y = a(b)^x, where b > 1.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a constant percentage over a period of time. It can be represented by the function y = a(b)^x, where 0 < b < 1.

Tags

CCSS.HSF-IF.C.8B

Front

Identify the horizontal asymptote of the function y = 3(5)^x.

Back

The horizontal asymptote is y = 0.

Tags

CCSS.HSF-IF.C.7E

Front

What is the domain of the function y = 2(3)^x?

Back

The domain is (-∞, ∞).

Front

Find the equivalent form of the function j(x) = 3 * 8^x.

Back

j(x) = 3 * 2^(3x).

Tags

CCSS.HSF-IF.C.8B

Front

What does the base of an exponential function indicate?

Back

The base indicates the growth (if > 1) or decay (if < 1) rate of the function.

Tags

CCSS.HSF-IF.C.8B

Front

What is the range of an exponential function?

Back

The range of an exponential function is (0, ∞) for growth and (0, ∞) for decay.

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine if a function is exponential?

Back

A function is exponential if it can be expressed in the form y = a(b)^x, where a is a constant and b is the base.

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 equal to a in the function y = a(b)^x.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

Changing the base affects the rate of growth or decay; a larger base results in faster growth.

Tags

CCSS.HSF-IF.C.7E