1. 4.3 Use Functions Involving e
Pg 140 Part 2

2. The Graph of the Exponential Function1 3 2

3. Graph natural base functions
Graph the function. State the domain and range.
SOLUTION
Because a = 3 is positive and r = 0.25 is positive, the function is an exponential growth function. Plug in 0 and 1.
x y 1
The domain is all real numbers, and the range is y > 0.

4. Graph natural base functions
Graph the function. State the domain and range.
SOLUTION
a = 1 is positive and r = –0.75 is negative, so the function is an exponential decay function. Translate the graph of y = right 2 units and up 1 unit.
e –0.75x
The domain is all real numbers, and the range is y > 1.

5. Try This! Graph the function. State the domain and range. y 2e 0.5x =
domain: all real numbers, range: y > 0

6. Try This! Graph the function. State the domain and range. 1 2 f(x) =
e -x +1
domain: all real numbers, range: y > 1

7. Continuous Compounding Formula
A(t) = Amount (as a function of time)
P = Initial Investment
r = Interest Rate
t = Time frame in years

8. An investment of $1000 earns an annual interest rate of 7.6%
Compare the final amounts after 8 years for interest compounded quarterly and for interest compounded continuously.
Compounded Quarterly Continuously

9. Find the value:
Of $500 after 4 years invested at an annual interest rate of 9% compounded continuously.
$716.66

10. Homework
Notetaking Guide !!!!
NTG Pg. 158, 2 – 28 Even & 29