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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Graphical Depictions | - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret concavity for situations - Interpret maximum and minimum for situations - Interpret rates of change for situations |
| Topic 2: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions |
| Topic 3: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Topic 4: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 5: Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Topic 6: Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Topic 7: Validity of Models | - Determine fit - Determine validity - Examine utility |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. 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)=13n
D) F(n)=n+13
2. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A) Town B, because 1.3 > 1.0
B) Town B, because 8.0 > 5.5
C) Town A, because 8.0 > 5.5
D) Town A, because 1.3 > 1.0
3. The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).
Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?
A) The number of animals at the station decreases at an average rate of 4.01 per hour.
B) The number of animals at the station increases at an average rate of 0.573 per hour.
C) The number of animals at the station increases at an average rate of 4.01 per hour.
D) The number of animals at the station decreases at an average rate of 0.573 per hour.
4. The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members.
The graph of f(x)is shown.
What is one range of values for which the graph is concave down?
A) (0#6)
B) (6#11)
C) (0#8)
D) (0#11)
5. The spread of two viruses within a single population is modeled using the functions in the graph.
What is a correct conclusion based on the graph?
A) Virus B affects 80%of the population before virus A does.
B) Virus B affects 70%of the population before virus A does.
C) Virus B affects 20%of the population before virus A does.
D) Virus B affects 60%of the population before virus A does.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: A | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: C |






