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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Validity of Models | - Determine fit - Determine validity - Examine utility |
| Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
| Graphical Depictions | - Interpret concavity for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret rates of change for situations - Interpret maximum and minimum for situations |
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The function p(t)represents the number of active players, p, in a game thours after 11:00 a.m. The graph of p(t) is shown.
What is one example of an interval for which the number of players is decreasing faster and faster?
A) t=8.7to t=10.7
B) t=11.2to t=11.5
C) t=8.6to t=9.0
D) t=1.2to t=5.3
2. The data in the scatterplot represents the number of people working at a research station over time. The graphed regression function has an r
2
value of 0.96. The predicted number of people working at the research station after 18.1 years is 541.
Is this prediction appropriate?
A) No. The r2value indicates a moderate fit, but x=18.1 is more than 25% of the range beyond the maximum value.
B) No. The r2value indicates a strong fit, but x=18.1 is more than 50% of the range beyond the maximum value.
C) Yes. The r2value indicates a strong fit, and x=18.1 is within 50% of the range of the maximum value.
D) Yes. The r2value indicates a moderate fit, and x=18.1 is within 25% of the range of the maximum value.
3. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A) Logistic
B) Linear
C) Exponential
D) Polynomial
4. A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
2
=0.99.
Which range of x-values is appropriate for extrapolation?
A) x=0 to x=20
B) Extrapolation is not appropriate because r
2
< 1.
C) Extrapolation is not appropriate because r
2
> 0.7.
D) x=2.5 to x=17.5
5. 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.
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: B | Question # 3 Answer: C | Question # 4 Answer: D | Question # 5 Answer: B |
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