Graphs
Interpreting a and b
Word Problems
Exponential Functions
100
What is the value of a?
a=1 or (0,1)
100
the a in y=ab^x is the starting value
True or False
True
100
if Sara bought a car for 5,000 dollars and the price increases by 10 percent what is the equation?
A)5,000(1-.001)
B)5,000(1+.2)
C)5,000(1+.1)
D)5,000(1+.01)
c)5,000(1+.1)
100
does the y repeat more than once on an exponential table?
yes or no
No the y doesn't not repeat more than once
200
what is the formula for exponential functions?
A)y=mx+b
B)b/2a
C)change of y/change of x
D) y=abx
D) y=abx
200
what does b represent in y=ab^x
A)starting value
B) the exponent
C) the rate of growth/decay
C) rate of growth and decay
200
Maria decides to invest $1,000 in a savings account that offers an annual interest rate of 5%, compounded yearly. What is the equation?
y=1000(1.05)^x
200
Which two of these are NOT an exponential word problem?
A) if you have a starting value of 4 and it triples what is the equation?
B) A canoe rental service charges 20$ transportation fee plus 30$ an hour to rent a canoe write an equation
C) find the vertex 2x+4x^2+8
D)If i buy a house for 100,000 dollars and the price increases by 40%
B and C
300
What is the growth factor?
b=2
300
If you have a starting value of 5 and it doubles what is the equation?
A) 3(5)x
B)5(2)x
C)2(5)x
D)5(3)x
B)5(2)x
300
if Sophia buys a motorcycle for 600 dollars and the price depreciates by 50% whats the equation an the answer
A)600(.5)=300
B)600(1.5) =900
C)600(0.05)=30
A)600(.5)=300
300
which function is multiplying by 3
Function A)
x:0,1,2,3
y:2,6,18,54
Function B)
x:0,1,2,3
y:1/3,1,3,9
C) all of the above
c) all of the above
400
What is the equation of this graph?
y=1(0.5)x
400
If the starting value is 6 and its quadruples what is the equation
A)4(6)x
B)6(3)x
C)2(6)x
D) 6(4)x
D) 6(4)x
400
A scientist studying the growth of bacteria starts with 500 bacteria that doubles every hour. What is the equation?
y=500(2)^x
400
which definition is correct for rate of growth
A)as the x value increases the y value decreases
B) as the x value increases the y value increases
B) as the x value increases the y value increases
500
How can you tell a table represents an exponential function? (There may be 2 answers)
A)you can tell when the y starts with a fraction
B) you can tell when the y's add up by a number
C)you can tell when the y's multiply by a number
D) all of the above
A)you can tell when the y starts with a fraction
C)you can tell when the y's multiply by a number
500
which word helps you find if the percent is going down in the equation
A)increases
B) decay
C) growth
D) rise
B)decay
500
The house is worth 9,000 dollars and the price increases by 20%. What is the equation?
A) 9,000(1-.002)
B)9,000(1+.02)
C)9,000(1.02)
D)9,000(1.2)
D)9,000(1.2 )
500
What is equation for the table
X:0,1,2,3
y: 1/3,1,3,9
A)1/3(3)x
B)3(1/3)x
C) 3(1)x
B)3(1/3)