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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Functions and Algebra of Functions- Derive conclusions based on data
- Derive conclusions based on graphs
- Derive conclusions based on notation
Validity of Models- Determine fit
- Examine utility
- Determine validity
Graphical Depictions- Interpret maximum and minimum for situations
- Interpret rates of change for situations
- Interpret concavity for situations
- Interpret asymptotes for situations
- Interpret inputs and outputs for situations
Logistic Functions- Interpret asymptotes for logistic functions
- Interpret inputs and outputs for logistic functions
- Interpret rates of change for logistic functions
Polynomial Functions- Interpret inputs and outputs for polynomial functions
- Interpret concavity for polynomial functions
- Interpret rates of change for polynomial functions
Linear Functions- Interpret inputs and outputs of linear functions
- Interpret rates of change for linear functions
Exponential Functions- Interpret inputs and outputs for exponential functions
- Interpret concavity for exponential functions
- Interpret rates of change for exponential functions

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.

Which statement is justified considering the location of the horizontal asymptote?

A. The number of daily new user accounts changes the most after the first 5 months.
B. The number of daily new user accounts will change by a constant rate over time.
C. The greatest number of daily new user accounts occurs after 10 months.
D. The number of daily new user accounts will not decrease to 0.


Question 2

A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r^2=0.42. The predicted number of annual bear sightings after 19.5years is 62.2.

Is this prediction appropriate?

A. Yes. The r^2value indicates a strong fit, and x=19.5is within 50%of the range of the maximum value.
B. No. The r^2value indicates a moderate fit, but x=19.5is more than 25%of the range beyond the maximum value.
C. No. The r^2value indicates a strong fit, but x=19.5is more than 50%of the range beyond the maximum value.
D. Yes. The r^2value indicates a moderate fit, and x=19.5is within 25%of the range of the maximum value.


Question 3

The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?

A. F(n)=n/13
B. F(n)=n-13
C. F(n)=n+13
D. F(n)=13n


Question 4

Which statement correctly interprets u(8), given that u(t)=0.21t
3
#4.09t
2
+18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?

A. There are approximately 66 units in the inventory at 10:00 a.m.
B. There are approximately 66 units in the inventory at 5:00 p.m.
C. There are approximately 160 units in the inventory at 5:00 p.m.
D. There are approximately 160 units in the inventory at 10:00 a.m.


Question 5

The weight of a radioactive sample is given by the function
W(x)=740× # 0.87 # ^x
where xis the time, in years, and Wis the weight of the sample, in ounces.
What is the weight of the sample when x=3?

A. 487.29oz.
B. 368.83oz.
C. 423.94oz.
D. 560.11oz.


Solutions:

Question 1
Answer: D
Question 2
Answer: B
Question 3
Answer: C
Question 4
Answer: B
Question 5
Answer: A

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