Key Features Expon. f(x)'s
Exponential Growth
Exponential Decay
Compound Interest
Linear Functions
100
If, f(x)=abx        Then what is the initial amount and constant ratio? 


a=initial amount

b=constant ratio

100

If f(x)=a(1+r)x        

Then what is the initial amount, growth rate, and common ratio?

initial amount=a

growth rate = r

common ratio = 1 + r

100

If f(x)=a(1-r)x        

Then what is the initial amount, decay rate, and common ratio? 

initial amount = a

decay rate = r

common ratio = 1 - r

100

In the compound interest formula what do the variables represent? 

A=P(1+r/n)nt


A= total amount 

P=principle amount

r=interest rate

n=number of times investment is compounded per year

t=time in years 

100

Are all relations are functions? True or False 

False

All functions are relations, not all relations are functions.

Function: every input value can have one and only one output value.

Vertical Line Test

200

What is the initial amount and constant ratio for the function f(x)=2(3)x  

initial amount=2

constant ratio= 3

200

In exponential functions when b>1 this will cause an exponential growth or decay?

Exponential growth

200

In exponential functions when 0<b<1 this will cause an exponential growth or decay?

Exponential decay

200

How do you turn 7% into a decimal? 

What is the given decimal of 7%? 

7/100= .07

or you move the decimal two places to the left of 7 to get .07. 

200

Which of following ordered pairs is considered a function?

A. (1,2), (2,2), (3,2), (4,2)

B. (1,3), (1,4), (1,5), (1,6)

C. (0,1), (1,2), (2,4), (1,5)

A

300

What key features can be determined from the graph of exponential functions? 

y-intercept=1

function increasing

domain= all real numbers

range= y>0

asymptote= horizontal at x-axis; approaching y=0.


300

f(x)=a(1.07)x

Does this functions represent exponential growth or decay?

Exponential Growth

300

f(x)=a(.93)x

Does this functions represent exponential growth or decay?

Exponential Decay

300

Ms. Wiggins deposited $1,000 in a CD at a 7% interest compounded quarterly. How much will her CD be worth in 5 years?

 Identify the P,r,n & t. 

p=1,000

r=.07

n=4

t=5

300

Which of the following options are functions?

Options 1 & 3

400

What is the constant ratio of the table for the exponential function? 

constant ratio= 2

400

Does the graph represent exponential growth or decay?

Exponential Growth

400

Does the graph represent exponential growth or decay? 

Exponential Decay

400

$950 at 6.5% for 8 years compounded annually. What is the exponential model that represents exponential growth? 

A=P(1+r/n)nt

A=950(1+.065/1)1(8)

400

Is the function increasing or decreasing?

Decreasing 

500

Which colored graph is linear and which one is exponential? 

Red=linear

Blue=exponential

500

Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years? 

530000(1.05)6

=$710,250 or =$710,251

500

 Ms. Wiggins purchased a car for 26,400 and every year it depreciates by 12%. What she expect the value of her car to be after 3.5 years?

f(x)=26400(.88)3.5

=$16,876 or =$16,877

500

 $1500 at 5% interest rate compounded monthly. What will be the balance after 2 years?

=$1,657

500

Identify the slope and y-intercept of the function below:

f(x)=3x - 8

slope=3

y-intercept=-8

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