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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Validity of Models- Examine utility
- Determine fit
- Determine validity
Topic 2: Logistic Functions- Interpret rates of change for logistic functions
- Interpret inputs and outputs for logistic functions
- Interpret asymptotes for logistic functions
Topic 3: Functions and Algebra of Functions- Derive conclusions based on notation
- Derive conclusions based on data
- Derive conclusions based on graphs
Topic 4: Polynomial Functions- Interpret concavity for polynomial functions
- Interpret rates of change for polynomial functions
- Interpret inputs and outputs for polynomial functions
Topic 5: Graphical Depictions- Interpret concavity for situations
- Interpret rates of change for situations
- Interpret maximum and minimum for situations
- Interpret asymptotes for situations
- Interpret inputs and outputs for situations
Topic 6: Linear Functions- Interpret inputs and outputs of linear functions
- Interpret rates of change for linear functions
Topic 7: Exponential Functions- Interpret inputs and outputs for exponential functions
- Interpret rates of change for exponential functions
- Interpret concavity for exponential functions

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The function P(t) represents the yearly profit, in millions of dollars, for a clothing store since opening. The graph of P(t) is shown.

How should the maximum value be interpreted?

A) Approximately 16 years after opening, a maximum yearly profit of approximately $2.25 was earned.
B) Approximately 16 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.
C) Approximately 10.5 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.
D) Approximately 10.5 years after opening, a maximum yearly profit of approximately $2.25 was earned.


2. Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?

A) Approximately $2
B) Approximately 2 months
C) Approximately $332
D) Approximately 332 months


3. The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.

Based on the graph, what was the practice duration for day 8?

A) 118 minutes
B) 117 minutes
C) 115 minutes
D) 120 minutes


4. Through a local marketplace, a person makes livestock feeders to sell. The graph shows the functions modeling the cost and revenue.

What is the minimum number of livestock feeders that must be sold in order for the revenue to cover the costs?

A) 5
B) 9
C) 3
D) 1


5. The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).

Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?

A) The number of people at the park decreases at an average rate of 9 per hour.
B) The number of people at the park decreases at an average rate of 18 per hour.
C) The number of people at the park increases at an average rate of 9 per hour.
D) The number of people at the park increases at an average rate of 18 per hour.


Solutions:

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

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