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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 data - Derive conclusions based on notation |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Graphical Depictions | - Interpret inputs and outputs for situations - Interpret concavity for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations |
| Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Validity of Models | - Examine utility - Determine validity - Determine fit |
| Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where xrepresents the number of weeks since registration opened and f(x)represents the number of registrants.
How does the number of registrants change as time progresses from week 1 to week 7?
A) The number of registrants decreases slower and slower.
B) The number of registrants increases faster and faster.
C) The number of registrants increases slower and slower.
D) The number of registrants decreases faster and faster.
2. The graph shows the number of user accounts on a social media website over time.
When did the number of user accounts reach 4,500?
A) After 7.0months
B) After 3.2months
C) After 2.0months
D) After 8.8months
3. The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.
How is the value of the coin changing over time based on the graph?
A) The value of the coin is decreasing faster and faster.
B) The value of the coin is increasing faster and faster.
C) The value of the coin is increasing slower and slower.
D) The value of the coin is decreasing slower and slower.
4. A vehicle is travelling away from a rest stop. The function
D(t)=48t+23
represents the distance from the vehicle to the rest stop at time t, where t is measured in hours and D is measured in miles.
What is the value of D(1.7)?
A) 87.1
B) 23
C) 104.6
D) 58.6
5. The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.
Which statement is justified considering the location of the horizontal asymptote?
A) The number of daily new user accounts will change by a constant rate over time.
B) The number of daily new user accounts will not decrease to 0.
C) The greatest number of daily new user accounts occurs after 10 months.
D) The number of daily new user accounts changes the most after the first 5 months.
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: B |


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