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WorksheetsModulus 9 Review- Test
Total questions: 45
Worksheet time: 56mins
Is the pictured graph growth, decay, or linear or none? (a)
Is y = 4(.20)x growth or decay? (a)
What is the initial amount for the function: f(x) = 300(1.16)x?
300
1.16
.16
x
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
Growth y=a(1+r)t
Decay y=a(1−r)t
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
Growth y=a(1+r)t
Decay y=a(1−r)t
An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
f(x) = 12000(1 + 14.9)x
f(x) = 12000(1 - 14.9)x
f(x) = 12000(1 + 0.149)x
f(x) = 12000(1 - 0.149)x
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
Name the parent function.
linear
quadratic
absolute value
exponential
Which statement is true based on the data in the table?
f(x) is an exponential function
g(x) is a linear function
The y-intercept of g(x) is 10
The slope of f(x) is 3
Select ALL that are true about this graph.
This is exponential
This is quadratic
The y-intercept is 9
The growth rate is 3
The equation is y=9(3)x
Identify the type of relationship
Linear
Quadratic
Exponential
In the table, function 3 is
Linear
Quadratic
Exponential
Identify the type of relationship
Linear
Quadratic
Exponential
Based on the table, which function will have the greatest y-value for x = 100?
Function 1
Function 2
Function 3
The y-intercept in the exponential function is...
(a)
Does the table show an exponential function pattern?
Yes, there is a constant factor of 2
Yes, there is a constant factor of -2
No, it is linear there is a constant rate of change of 2
No, there is no pattern
A=1200(.85)6
What is the growth rate in the function f(x)=2(1.44)x
144%
2%
44%
X%
In an exponential function, what does the 'a' represent?
SLOPE
RATE OF CHANGE
Y-INTERCEPT
COMMON RATIO
Which of the following is NOT correct about the transformation of the graph 2^x
Reflection about the x-axis
Reflection about the y-axis
Horizontal Shift to the left by 7
Vertical shift downward by 9
Vertical Shift upwards by 9
up 1 unit
left 1 unit
right 1 unit
down 1 unit
What is the domain of the exponential function?
all real numbers
y > -1
y < -1
x > -1
Which equation matches the graph?
−3(3)x+2
−3(31)x+2
−3(3)x−2
−3(31)x−2
Which of the following has a ratio of 2? (select all that apply)
This is a _______________ function.
Linear
Exponential
Quadratic
True or False: This is an exponential function.
True
False
What is the equation of the horizontal asymptote for following exponential function?
y = -4
y > -4
y < -4
(0, -3)
The domain of all exponential functions is....
−∞<x<∞
(−∞,∞)
all real numbers
ALL OF THE ABOVE
What is the range of f(x) = 5x?
[0, ∞)
(- ∞, ∞)
(- ∞,0)
(0, ∞)
What is the equation of the horizontal asymptote for following exponential function?
y = -2
y > -2
y < -2
(0, -2)
What is the 'a' value of this exponential function?
81
9
1/3
Identify the irrational numbers. (Select all that apply)
50
2
π
2.3454128904
What is a decimal called that has a bar over it?
Repeating
Terminating
Rational
Irrational
Which of these is an example of a repeating decimal?
1⁄3
1⁄4
1⁄5
1⁄10
What does n represent?
Number
Nothing
Term you are trying to find
What is the common ratio?
-2
2
4
Not enough information
Did you prepare for this test
Yes
No
Write the explicit formula for the geometric sequence. What is the 10th term?
an = 10(2)n-1
5120
an = 2(10)n-1
2,000,000,000
an = 10(2)n
10,240
an = 2(10)n
20,000,000,000
