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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Graphical Depictions | - Interpret inputs and outputs for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret concavity for situations - Interpret maximum and minimum for situations |
| Topic 2: Validity of Models | - Determine fit - Examine utility - Determine validity |
| 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: Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
| Topic 5: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 6: Functions and Algebra of Functions | - Derive conclusions based on data - Derive conclusions based on notation - Derive conclusions based on graphs |
| Topic 7: Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
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
< 0.7.
B) x=3 to x=21
C) Extrapolation is not appropriate because r
2
< 1.
D) x=0 to x=24
2. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.
Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?
A) (8#409)
B) (4#404)
C) (2#401)
D) (10#407)
3. As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.
What does the horizontal asymptote mean?
A) Over time, the number of licensed sellers will increase back up to 700.
B) In the long run, the number of licensed sellers nears 100.
C) After 11 months, the number of licensed sellers decreased to 100.
D) The number of licensed sellers was initially 700.
4. As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.
What does the horizontal asymptote mean?
A) In the long run, the number of licensed sellers nears 300.
B) After 21 months, the number of licensed sellers decreased to 300.
C) Over time, the number of licensed sellers will increase back up to 1,050.
D) The number of licensed sellers was initially 1,050.
5. A team was assembled at a manufacturing plant in order to boost productivity. The team was tasked with producing as many widgets each day as possible. The results are shown in the graph.
What is the correct interpretation of the average rate of change from day 6 to day 14?
A) Over the 8-day period, the team approximately produced an additional 2.5 widgets in total.
B) The team increased production by an average of approximately 2.5 widgets each day.
C) Over the 8-day period, the team approximately produced an additional 1.2 widgets in total.
D) The team increased production by an average of approximately 1.2 widgets each day.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: B |







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