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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 2: Functions and Algebra of Functions | - Derive conclusions based on data - Derive conclusions based on notation - Derive conclusions based on graphs |
| Topic 3: Validity of Models | - Determine validity - Examine utility - Determine fit |
| Topic 4: 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 |
| Topic 5: Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions |
| Topic 6: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Topic 7: Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A. Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
B. Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
C. Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
D. Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
Question 2
The graph shows the number of customers, C(t), showing up to a store, where the number of hours since opening is along the horizontal axis and the number of customers showing up to the store each hour is along the vertical axis.
How can the concavity be described from t=6.2to t=10.1?
A. The number of customers increases faster and faster and then increases slower and slower.
B. The number of customers decreases slower and slower and then increases faster and faster.
C. The number of customers increases slower and slower and then increases faster and faster.
D. The number of customers increases slower and slower and then decreases faster and faster.
Question 3
The population of fish in a lake is changing according to the function
P(t)=462-35t
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?
A. The number of fish in the lake is decreasing at a constant rate of 35 fish per month.
B. The number of fish in the lake is increasing at a constant rate of 35 fish per month.
C. The number of fish in the lake is decreasing at a constant rate of 462 fish per month.
D. The number of fish in the lake is increasing at a constant rate of 462 fish per month.
Question 4
The graph shows the progress of a manufacturing team, modeling the number of widgets the team is able to produce each day since the team was formed.
How should the average rate of change from day 16 to day 18 be interpreted?
A. Over the 2-day period, the team approximately produced an additional 1.7 widgets in total.
B. The team increased production by an average of approximately 1.7 widgets each day.
C. The team increased production by an average of approximately 0.8 widgets each day.
D. Over the 2-day period, the team approximately produced an additional 0.8 widgets in total.
Question 5
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 1 is less than the height of ball 2 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.
Solutions:
| Question 1 Answer: D | Question 2 Answer: D | Question 3 Answer: A | Question 4 Answer: B | Question 5 Answer: C |







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