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Exponential Functions Review
Test Description: Reviewing functions of the form y=ab^x
Instructions: Answer all questions to get your test result.
1) Olivia purchased a music system worth $18,000. It loses its value by 6% per year. What equation can be used to find the value of the system 9 years later?
A
y = 18000(-0.06)^9
B
y = 18000(1.06)^9
C
y = 18000(0.94)^9
D
y = 18000(0.06)^9
2) Which of the following equations models an exponential decay?
A
y = 7(0.98)^t
B
y = 12(3.57)^t
C
y = 1 - 6t
D
y = 4(1.21)^t
3) Does the equation y=200(3)^x represents exponential growth or decay?
A
Growth because the 3 is positive
B
Growth because of the 3 is greater than 1
C
Growth because the 200 a positive number
D
Decay because the 3 is less than 200
4) What is the equation of a quadratic function?
A
y = ax^2 + bx + c
B
y = mx + b
C
y = ab^x
D
y = kx
5) An antique car increases in value by 10% each year. Which equation shows this?
A
5000(0.9)^x
B
5000(.10)^x
C
5000(1.10)^x
D
5000(10)^x
6) How would you find the 8th term of this geometric sequence: 5, 10, 20, 40...
A
5+5(7)
B
5(2)^8
C
5(2)^7
D
5+5(8)
7) The value of a car can be determined by the function y = 25,000(0.82)^x. Which of the following is FALSE?
A
The car's initial value was $25,000.
B
This function has a horizontal asymptote.
C
The car is losing 18% of its value each year.
D
The car is losing 82% of its value every year.
8) The super monkey in Bloons tower defense starts out doing 100 damage. Every upgrade causes its damage to increase by 50%. What expression will give its damage after 6 upgrades?
A
100(150)^6
B
100(1.50)^6
C
6(0.5) + 100
D
100(0.50)^6
9) Which statement describing an exponential function of the form y = ab^x is false?
A
The x is the number of repetitions.
B
The A is the initial ammount.
C
The A tells you if the function is growing or decaying.
D
The B is the growth rate.
10) An equation in the form y = ab^x has a horizontal asymptote at the x-axis. What is the equation of this asymptote?
A
y = a
B
y = 0
C
x = 0
D
x = b
*select an answer for all questions
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