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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Graphical Depictions | - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations - Interpret concavity for situations |
| Topic 2: Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret concavity for polynomial functions - Interpret rates of change for polynomial functions |
| Topic 3: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions |
| Topic 4: Exponential Functions | - Interpret rates of change for exponential functions - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions |
| Topic 5: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 6: Validity of Models | - Determine validity - Determine fit - Examine utility |
| Topic 7: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on data - Derive conclusions based on notation |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. Based on collected data, the number of employees at a firm can be modeled using the function f(x)=10× # 1.09 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of employees, in thousands.
Which time period has the fastest average increase in the number of employees?
A) 2005 to 2019
B) 2001 to 2003
C) 2013 to 2021
D) 2001 to 2016
2. 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 1, 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 1 is less than the height of ball 2 at t=0.9.
C) Ball 2, 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 2 is less than the height of ball 1 at t=0.9.
3. The function a(x)represents the value of an investment account, where xis the number of years since the account was opened. The graph of the function is shown.
What is the total value when x=4?
A) $1,830.59
B) $763.84
C) $1,022.19
D) $570.79
4. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.
How does the number of comments change as time progresses from day 1 to day 17?
A) The number of comments decreases faster and faster.
B) The number of comments increases faster and faster.
C) The number of comments decreases slower and slower.
D) The number of comments increases slower and slower.
5. The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function A(t)can be used to model the situation, where trepresents the number of people who auditioned last year and Arepresents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?
A) A(283)=280
B) A(280)=277
C) A(280)=283
D) A(277)=280
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: B |
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