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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Topic 2: Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
| Topic 3: Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Topic 4: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 5: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Topic 6: Graphical Depictions | - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret concavity for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations |
| Topic 7: Validity of Models | - Determine fit - Examine utility - Determine validity |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
A researcher collected data on the average number of product returns per month to a company over time. The results are shown in the scatterplot. The graphed regression function has an r
2
value of 0.45.
Which range of x-values is appropriate for extrapolation?
A. Extrapolation is not appropriate because r
2
< 1.
B. x=0 to x=24
C. Extrapolation is not appropriate because r
2
< 0.7.
D. x=3 to x=21
Question 2
The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?
A. -23.3
B. 11.04
C. 77.25
D. -5.83
Question 3
The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 140?
A. H(131)=140
B. H(140)=149
C. H(140)=131
D. H(149)=140
Question 4
The population of bison in a preserve can be modeled using the logistic function f(x), where x represents the number of years since the preserve was established and f(x) represents the population. The graph of f(x) is shown.
How does the bison population change as time progresses from year 7 to year 10?
A. The bison population decreases faster and faster.
B. The bison population decreases slower and slower.
C. The bison population increases slower and slower.
D. The bison population increases faster and faster.
Question 5
The number of acres affected by an invasive species can be modeled using the logistic function f(x), where xrepresents the number of months since the species was introduced and f(x)represents the number of affected acres. The graph of f(x)is shown.
What happens as time progresses from month 2 to month 6?
A. The number of affected acres increases slower and slower.
B. The number of affected acres decreases slower and slower.
C. The number of affected acres increases faster and faster.
D. The number of affected acres decreases faster and faster.
Solutions:
| Question 1 Answer: C | Question 2 Answer: D | Question 3 Answer: B | Question 4 Answer: C | Question 5 Answer: C |
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