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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
| Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions |
| Graphical Depictions | - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret concavity for situations |
| Polynomial Functions | - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions |
| Validity of Models | - Determine validity - Examine utility - Determine fit |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
Based on collected data, the number of registered voters in a district can be modeled using the function f(x)=1,300× # 0.92 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of registered voters.
Which time period has the fastest average decrease in the number of registered voters?
A. 2009 to 2012
B. 2008 to 2021
C. 2007 to 2008
D. 2001 to 2007
Question 2
The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?
A. 5
B. 5.91
C. 45
D. 32.5
Question 3
In the following graph showing the elevation profile, F(d), for a mountain biking course, the horizontal axis shows the number of miles since the start of the course and the vertical axis shows the elevation in feet.
How can the concavity be described from d=10 to d=13.1?
A. The elevation decreases faster and faster and then decreases slower and slower.
B. The elevation decreases slower and slower and then increases faster and faster.
C. The elevation increases slower and slower and then decreases faster and faster.
D. The elevation decreases slower and slower and then decreases faster and faster.
Question 4
The function d(x)=14+65xrepresents the distance, in meters, from a tower to an object at time x, in seconds.
What is the value of d(1.5)?
A. 0.19
B. 111.5
C. 86
D. 65
Question 5
The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A. Town B, because 1.0 > 0.7
B. Town A, because 6.5 > 5.5
C. Town B, because 6.5 > 5.5
D. Town A, because 1.0 > 0.7
Solutions:
| Question 1 Answer: D | Question 2 Answer: A | Question 3 Answer: C | Question 4 Answer: B | Question 5 Answer: D |
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