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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
| Topic 2: Graphical Depictions | - Interpret asymptotes for situations - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations - Interpret rates of change for situations - Interpret concavity for situations |
| Topic 3: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 4: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Topic 5: Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Topic 6: Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions |
| Topic 7: Validity of Models | - Determine fit - Examine utility - Determine validity |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The figure displays the graphs of two functions representing the heights, h_1and h_2, in feet, of two balls tseconds after being launched.
Which ball was lower 0.9seconds after being launched?
A) Ball 2, because the height of ball 1 is less than the height of ball 2 at t=0.9.
B) Ball 2, because the height of ball 2 is less than the height of ball 1 at t=0.9.
C) Ball 1, because the height of ball 2 is less than the height of ball 1 at t=0.9.
D) Ball 1, because the height of ball 1 is less than the height of ball 2 at t=0.9.
2. The number of property sales in a region this year is expected to be 3 times 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 280?
A) H(280)=93
B) H(840)=280
C) H(93)=280
D) H(280)=840
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) Polynomial
C) Exponential
D) Linear
4. Consider the graph of p(t)shown. The function represents the number of active players, p, in a game thours after 11:00 a.m.
Which interpretation of the concavity between t=0.4and t=3.6is correct?
A) The number of players is decreasing slower and slower.
B) The number of players is increasing slower and slower.
C) The number of players is decreasing faster and faster.
D) The number of players is increasing faster and faster.
5. The function N(t)models the number of subscribers to a virtual newsletter over time. The graph of N(t)is shown. The horizontal axis represents the number of years since the newsletter started, and the vertical axis represents the number of subscribers, in thousands.
How is the number of subscribers changing over time based on the graph?
A) The number of subscribers is increasing faster and faster.
B) The number of subscribers is decreasing slower and slower.
C) The number of subscribers is decreasing faster and faster.
D) The number of subscribers is increasing slower and slower.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: A |
