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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Topic 2: Validity of Models | - Determine fit - Examine utility - Determine validity |
| Topic 3: Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Topic 4: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on data - Derive conclusions based on notation |
| 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: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Topic 7: Graphical Depictions | - Interpret maximum and minimum for situations - Interpret concavity for situations - Interpret rates of change for situations - Interpret inputs and outputs for situations - Interpret asymptotes for situations |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question #1
The figure shows the graph of p(t), which represents the number of people, p, at a gym thours after 7:00 a.m.
How should the concavity between t=1.3and t=3.4be interpreted?
A. The number of people is decreasing slower and slower.
B. The number of people is increasing slower and slower.
C. The number of people is decreasing faster and faster.
D. The number of people is increasing faster and faster.
Question #2
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 weeks 1 and 5.
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 only week 7.
Question #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 185 fish per month.
C. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
D. The number of fish in the lake is increasing at a constant rate of 24 fish per month.
Question #4
The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?
A. 4,500
B. 2,250
C. 25
D. 1,000
Question #5
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 will change by a constant rate over time.
B. The number of daily new user accounts changes the most after the first 5 months.
C. The number of daily new user accounts will not decrease to 0.
D. The greatest number of daily new user accounts occurs after 10 months.
Solutions:
| Question #1 Correct Answer: B | Question #2 Correct Answer: C | Question #3 Correct Answer: D | Question #4 Correct Answer: D | Question #5 Correct Answer: C |
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