Exponential Function

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

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 is the decay factor for a depreciation rate of 8%?

Back

.92

Front

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

Back

The growth or decay factor of the function.

Front

If a bank account grows according to the function g(x) = 200(1.25)^x, what was the initial deposit?

Back

$200

Front

Write the equation for a car that depreciates 16% each year, purchased for $18,500.

Back

f(x) = 18,500(1 - 0.16)^x

Front

What is the formula to calculate the value of an investment after 't' years with a growth rate 'r'?

Back

V = P(1 + r)^t, where P is the principal amount.

Front

What is the difference between exponential growth and exponential decay?

Back

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

Front

If a population of bacteria doubles every hour, what is the growth factor?

Back

2

Front

What is the value of the function f(x) = 3(2)^x when x = 4?

Back

48