Algebra 4
Section 8-2: Properties of Exponential Functions
Learning Target: To identity the role of constants in y = a(b)x – m + c and to use e as a
base.
Standard: A2.2.A, A2.2.B, A2.5.A, A2.5.B, A2.5.D, A2.5.E, A2.5.F
Common: A-SSE, A-CED, F-IF, F-BF, F-LE
1. Graph: y = (8)x
2. Graph y = (8)x – 3
a. Translated 3 units right
3. Graph y = (8)x + 4
a. Translated 4 units up
4. Graph y = (8)x + 5 – 2
a. Translated 5 units left and 2 units down
5. Graph y = -(8) + 2
a. Reflection, and translated 2 units up
6. Suppose you invest $1200 at an annual interest rate of 5.5% compounded
continuously. How much money will you have in the account after five years?
a. Write the exponential function.
b. A(x) = 1200(1.055)x
This function is for compounded only once a year
c. Special exponential function
A(x) = 1200e(rt)
r = rate as decimal, t = time in years
d. A(x) = 1200e(0.055 ∙ 5) = $1579.84 = ~$1580
7. Suppose you invest $3100 at an annual interest rate of 4.3% compounded
continuously. Find the amount you will have in the account after 30 years.