Exponential Functions Review Question Preview (ID: 55762)
Reviewing Functions Of The Form Y=ab^x.
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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(1.06)^9
b) y = 18000(0.06)^9
c) y = 18000(-0.06)^9
d) y = 18000(0.94)^9
Which of the following equations models an exponential decay?
a) y = 12(3.57)^t
b) y = 1 - 6t
c) y = 4(1.21)^t
d) y = 7(0.98)^t
Does the equation y=200(3)^x represents exponential growth or decay?
a) Growth because the 200 a positive number
b) Growth because of the 3 is greater than 1
c) Decay because the 3 is less than 200
d) Growth because the 3 is positive
What is the equation of a quadratic function?
a) y = ax^2 + bx + c
b) y = mx + b
c) y = kx
d) y = ab^x
An antique car increases in value by 10% each year. Which equation shows this?
a) 5000(1.10)^x
b) 5000(10)^x
c) 5000(.10)^x
d) 5000(0.9)^x
How would you find the 8th term of this geometric sequence: 5, 10, 20, 40...
a) 5(2)^7
b) 5+5(7)
c) 5(2)^8
d) 5+5(8)
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 is losing 82% of its value every year.
b) The car's initial value was $25,000.
c) The car is losing 18% of its value each year.
d) This function has a horizontal asymptote.
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(0.50)^6
c) 100(1.50)^6
d) 6(0.5) + 100
Which statement describing an exponential function of the form y = ab^x is false?
a) The A tells you if the function is growing or decaying.
b) The A is the initial ammount.
c) The B is the growth rate.
d) The x is the number of repetitions.
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 = 0
b) x = 0
c) x = b
d) y = a
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