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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Validity of Models | - Determine validity - Determine fit - Examine utility |
| Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
| Polynomial Functions | - Interpret concavity for polynomial functions - Interpret rates of change for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Graphical Depictions | - Interpret rates of change for situations - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations - Interpret concavity for situations - Interpret asymptotes for situations |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The function P(t)represents the daily profit, in hundreds of dollars, for a hardware store since opening. The graph of P(t)is shown.
How should the maximum value be interpreted?
A) Approximately 9 years after opening, a maximum daily profit of approximately $1,270was earned.
B) Approximately 21 years after opening, a maximum daily profit of approximately $1,270was earned.
C) Approximately 21 years after opening, a maximum daily profit of approximately $2,900was earned.
D) Approximately 9 years after opening, a maximum daily profit of approximately $2,900was earned.
2. The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.
Which interpretation of the instantaneous rate of change is correct?
A) In 2007, the population was increasing by 3,740 animals per year.
B) In 2007, the population was increasing by 3.74 animals per year.
C) In 2012, the population was increasing by 3.74 animals per year.
D) In 2012, the population was increasing by 3,740 animals per year.
3. The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?
A) The number of fish in the lake is decreasing at a constant rate of 185 fish per month.
B) The number of fish in the lake is increasing at a constant rate of 24 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 185 fish per month.
D) The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
4. The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?
A) f(n)=n+17
B) f(n)=n#17
C) f(n)=17n
D) f(n)=n/17
5. The figure shows the graph of x(t), which represents the number of users, x, watching a live video thours after
9:00 a.m.
Which interpretation of the concavity between t=3.2and t=5.7is correct?
A) The number of users is decreasing faster and faster.
B) The number of users is increasing faster and faster.
C) The number of users is decreasing slower and slower.
D) The number of users is increasing slower and slower.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: A |



