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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Validity of Models- Determine fit
- Determine validity
- Examine utility
Topic 2: Logistic Functions- Interpret rates of change for logistic functions
- Interpret asymptotes for logistic functions
- Interpret inputs and outputs for logistic functions
Topic 3: Linear Functions- Interpret rates of change for linear functions
- Interpret inputs and outputs of linear functions
Topic 4: Functions and Algebra of Functions- Derive conclusions based on data
- Derive conclusions based on notation
- Derive conclusions based on graphs
Topic 5: Exponential Functions- Interpret inputs and outputs for exponential functions
- Interpret rates of change for exponential functions
- Interpret concavity 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: Graphical Depictions- Interpret inputs and outputs for situations
- Interpret rates of change for situations
- Interpret asymptotes for situations
- Interpret maximum and minimum for situations
- Interpret concavity for situations

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A researcher collected data on the number of members in a national association over time. The results are shown in the scatterplot. The graphed regression function has an r^2value of 0.54.

Is it appropriate to make a prediction for the number of members after 20.6years?

A) Yes. The r^2value indicates a strong fit, and x=20.6is within 50%of the range of the maximum value.
B) No. The r^2value indicates a strong fit, but x=20.6is more than 50%of the range beyond the maximum value.
C) No. The r^2value indicates a moderate fit, but x=20.6is more than 25%of the range beyond the maximum value.
D) Yes. The r^2value indicates a moderate fit, and x=20.6is within 25%of the range of the maximum value.


2. The function V(t)represents the number of travelers, V, in a travel depot thours after 7:00 a.m. The graph of V (t)is shown.

What does V(2)represent?

A) 79.2 hours
B) 2 travelers
C) 79.2 travelers
D) 2 hours


3. 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 A, because 1.3 > 1.1
B) Town B, because 6.5 > 5.5
C) Town B, because 1.3 > 1.1
D) Town A, because 6.5 > 5.5


4. A recipe calls for a constant ratio of water and lemon juice. The graph shows the relationship between the amounts of these two ingredients, where wis the volume of water and lis the volume of lemon juice.

What is the correct interpretation of the rate of change?

A) The amount of lemon juice must be 5/8of the amount of water.
B) The amount of lemon juice must be 8/5of the amount of water.
C) The amount of lemon juice must be the amount of water plus 8/5.
D) The amount of lemon juice must be the amount of water plus 5/8.


5. In the graph showing the number of new customer accounts, the horizontal axis shows the number of weeks since the beginning of winter and the vertical axis shows the number of new customer accounts. More customer accounts are opened during snowy weeks than during weeks without snow.

When was it likely snowy?

A) It was likely snowy during only week 7.
B) It was likely snowy during only week 1.
C) It was likely snowy during weeks 7 and 14.
D) It was likely snowy during weeks 1 and 5.


Solutions:

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

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