Exponential Functions Test

Front

In the formula y = a(1±r)ⁱ, what does the 't' represent?

Back

The number of times the change has happened over time.

Front

Given the function f(x) = 1.07^x, is this a growth or decay function?

Back

Growth.

Front

What is the initial quantity in the function Q = 3.1(0.78)^t?

Back

3.1.

Front

What type of function is f(x)=2(1/7)^x?

Back

Exponential Decay.

Front

In the compound interest formula A=P(1+r)ⁱ, what does the P stand for?

Back

The principal amount (original amount).

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 base.

Front

What does the base 'b' in an exponential function indicate?

Back

The growth (b > 1) or decay (0 < b < 1) factor.

Front

How do you determine if an exponential function represents growth or decay?

Back

If the base is greater than 1, it represents growth; if the base is between 0 and 1, it represents decay.

Front

What is the formula for continuous compound interest?

Back

A = Pe^(rt), where e is Euler's number.

Front

What does 'r' represent in the formula A = P(1 + r)ⁱ?

Back

The interest rate per time period.