Exponential Quiz Review

Question 1

Equation for Compound Interest

Answer 1

A = P(1+r/n)^nt

P = initial value
r = rate
n = the number of compounding periods in 1 year.
-If the interest is compounded yearly, n is 1. If the interest is compounded semi-annually, n is 2.
t = time in years.

Question 2

Equation for Continuous Compound Interest

Answer 2

A = Pe^rt

P = Initial Amount
e = Euler's Number about 2.71
r = rate of interest
t = time in years

Question 3

Equations for Exponential Growth and Decay

Answer 3

y = a(1+r)^x
y = a(1-r)^x

A = initial amount
r = rate of change
x = time

Question 4

Parent function of exponentials

Answer 4

y=ab^x-h + k

a = vertical stretch
b = base
h = horizontal shift
k = vertical shift

Question 5

Parent function of logarithms

Answer 5

y=logb(a-h) + k

a = vertical stretch
b = base
h = horizontal shift
k = vertical shift

Question 6

How can you tell if an exponential function is a growth or decay?

Answer 6

b > 1 = Exponential Growth
0 < b < 1 = Exponential Decay
0 > b = Not a function

Question 7

Express the Asymptotes in equation form

Answer 7

Horizontal Asymptote - y = k

Vertical Asymptote - x = h