CHAPTER 7 SECTION 1

Graph exponential growth functions

ASYMPTOTE: A LINE THAT A GRAPH APPROACHES BUT NEVER TOUCHES

GRAPH OF EXPONENTIAL FUNCTIONS

DECAYNote:

GROWTH AND DECAY

PARENT FUNCTION FOR 1 bbxf x

Reals All:Domain

0:Rangey

0:Asymptote Horizontal

y

(0,1)

GRAPH Make a T-chart and graph

xy 2)1 x y

-2-1012

1/21/4

1 24

xy 2

GRAPH Make a T-chart and graph

x

y

21)2 x y

-2-1012

24

1 .5.25

x

y

21

COMPOUND INTEREST

𝐴=𝑃 ¿A = amount in account after t yearsP = Principle (initial amount)r = annual interest rate (expressed as a decimal)n = number of times compoundedt = time in years

EXAMPLEYou deposit $5500 in an account that pays 3.6% annual interest. Find the balance after 2 years if the interest is compounded with the given frequency. A.) semiannuallyA

=P = r =n =t =

A$55000.03622

𝐴=𝑃 ¿𝐴=5500 ¿𝐴=$5906.82

EXAMPLEYou deposit $5500 in an account that pays 3.6% annual interest. Find the balance after 2 years if the interest is compounded with the given frequency. B.) monthlyA

=P = r =n =t =

A$55000.036122

𝐴=𝑃 ¿𝐴=5500 ¿𝐴=$5909.97

HOMEWORKPg 482-485

(6,9,10,14,16,22, 37, 38) and

Pg 489-491 (7,9,12,14,19,23)

PARENT FUNCTION FOR

Reals All:Domain

0:Rangey

0:Asymptote Horizontal

y

(0,1)

(0,-a)

1 bbxf x

TRANSLATIONS

(0,1)(-1,4)

32

Graph1 xy

Reals All:Domain

3:Rangey

3:Asymptote Horizontal

y