Copy of Module Eleven Pathway Two Quiz
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Central Carolina Community College *
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Apr 3, 2024
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NC Math I - Module Eleven Pathway Two Quiz
1.
Complete all parts of the table below
Function
Initial value
Growth or
decay?
Growth/decay
factor
f(x) = 2
x
2 Growth 1 f(x) = 4(2/3)
x
4
decay - 2/3
f(x) = ½(5)
x
1/2
growth 5 f(x) = 10(.02)
x
10
decay
-.02
For each table below answer parts A - G and provide a sketch of the graph. The graph
must include the y intercept and at least one other point. The axes of your graph must be labeled. 2. x
-2
-1
0
1
2
y
.3125
1.25
5
20
80
Graph: A.Growth or Decay: ___growth___
B.Shape of graph: _linear______
C. Function: f(x) = ___y(4)^x____
D. Domain: ____________
E. Range: _____________
F. Y intercept: __________
G. End behavior as x
- ∞, y ______
as x ∞, y ______
NC Math I - Module Eleven Pathway Two Quiz 3. x
-2
-1
0
1
2
y
32
8
2
.5
.125
Graph: A.Growth or Decay: ______
B.Shape of graph: _______
C. Function: f(x) = _______
D. Domain: ____________
E. Range: _____________
F. Y intercept: __________
G. End behavior as x
- ∞, y ______
as x ∞, y ______
4. The graph of y = 2
x
is shifted k units to create y =2
x
+ k. What is the value of k that creates the graph below?
k = _________________
5. Find the 4
th
term of the geometric sequence that begins at 7 and has a common ratio of 1.5. Show the math or explain in words how you got your answer.
NC Math I - Module Eleven Pathway Two Quiz 6. Answer the questions below given the geometric sequence. Please be sure to use your knowledge of the formula for a geometric sequence
: 2, 12, 72, 432, ….
A. Identify the initial value of the geometric sequence.
B. Find the common ratio (show work): C. Write the explicit equation for the geometric sequence: 7. The first term of a geometric sequence is 5 and the sixth term is 160. What is the common ratio? Show your work or explain your answer. 8. Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the exponential function that includes the points in the table below. x
g(x)
-2
8
-1
4
1
1
2
.5
A.
Find the exponential regression equation of g(x): __________________
B.
What is the difference when the y-intercept of f(x) is subtracted
from the y-intercept of g(x)? 9. A scientist is tracking the growth of bacteria. His findings are presented in the table below:
Hours
Bacteria Weight (in pounds)
0
2
1
2.05
9
2.5
28
4
76
13
A.
What is the exponential equation that represents the hours, h
and weight of the bacteria, p
? Round to the nearest thousandth.
B.
Is this an example of exponential growth or decay? Explain why.
C.
If the scientist continues tracking his findings in the same manner, what would be the weight of the bacteria after eight days? (Be careful here!) Show work for credit.
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