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.

Front

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

Back

Growth.

Front

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

Back

y = 15(1.35)^x.

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.

Front

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

Back

Exponential growth.

Front

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

Back

Exponential decay.

Front

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

Back

The initial value or starting amount.

Front

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

Back

It increases the rate of growth or decay.