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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Validity of Models | - Determine validity - Examine utility - Determine fit |
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on data - Derive conclusions based on notation |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Graphical Depictions | - Interpret rates of change for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations - Interpret concavity for situations - Interpret asymptotes for situations |
| Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
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 weeks 7 and 14.
C. It was likely snowy during weeks 1 and 5.
D. It was likely snowy during only week 1.
Question 2
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=2.5 to x=17.5
B. x=0 to x=20
C. Extrapolation is not appropriate because r
2
> 0.7.
D. Extrapolation is not appropriate because r
2
< 1.
Question 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.
What was the practice duration for day 9, based on the graph?
A. 117 minutes
B. 127 minutes
C. 119 minutes
D. 133 minutes
Question 4
A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r^2=0.42. The predicted number of annual bear sightings after 19.5years is 62.2.
Is this prediction appropriate?
A. Yes. The r^2value indicates a moderate fit, and x=19.5is within 25%of the range of the maximum value.
B. No. The r^2value indicates a strong fit, but x=19.5is more than 50%of the range beyond the maximum value.
C. Yes. The r^2value indicates a strong fit, and x=19.5is within 50%of the range of the maximum value.
D. No. The r^2value indicates a moderate fit, but x=19.5is more than 25%of the range beyond the maximum value.
Question 5
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. Yes. The r2value indicates a moderate fit, and x=18.1 is within 25% of the range of the maximum value.
C. No. The r2value indicates a strong fit, but x=18.1 is more than 50% of the range beyond the maximum value.
D. Yes. The r2value indicates a strong fit, and x=18.1 is within 50% of the range of the maximum value.
Solutions:
| Question 1 Answer: B | Question 2 Answer: A | Question 3 Answer: B | Question 4 Answer: D | Question 5 Answer: C |
