Exponential Functions

Front

What is the domain of the exponential function?

Back

All real numbers.

Front

Write the equation of an exponential function with a base of 3.

Back

y = 3^x.

Tags

CCSS.HSF.LE.A.2

Front

Classify the model A=10(1.01)^3 as Exponential GROWTH or DECAY.

Back

Growth.

Tags

CCSS.HSF-IF.C.8B

Front

Which function represents an initial amount of $15 and an increase of 35% each year?

Back

y = 15(1.35)^x.

Tags

CCSS.HSF.LE.A.2

Front

Is the function A=5(0.9)^x exponential growth or decay?

Back

Decay.

Front

What is the general form of an exponential function?

Back

y = a(b^x), where a is the initial value and b is the growth/decay factor.

Tags

CCSS.HSF.LE.A.2

Front

If a function has a base greater than 1, what type of growth does it represent?

Back

Exponential growth.

Tags

CCSS.HSF-IF.C.8B

Front

If a function has a base between 0 and 1, what type of growth does it represent?

Back

Exponential decay.

Tags

CCSS.HSF-IF.C.8B

Front

What does the 'a' represent in the exponential function y = a(b^x)?

Back

The initial value or starting amount.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

It increases the rate of growth or decay.

Tags

CCSS.HSF-IF.C.7E