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 increasingdomain= 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