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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Validity of Models | - Determine validity - Examine utility - Determine fit |
| Topic 2: Exponential Functions | - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions |
| Topic 3: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 4: Graphical Depictions | - Interpret concavity for situations - Interpret inputs and outputs for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations |
| Topic 5: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions |
| Topic 6: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Topic 7: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret concavity for polynomial functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.
What is the appropriate range of x-values for extrapolation?
A) x=0to x=24
B) Extrapolation is not appropriate because r^2 < 1.
C) x=-4to x=28
D) Extrapolation is not appropriate because r^2 > 0.7.
2. The number of wild horses in a federal park is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of years since the park was established and f(x)represents the wild horse population in a given year.
How does the number of wild horses change as time progresses from year 1 to year 9?
A) The number of wild horses decreases faster and faster.
B) The number of wild horses decreases slower and slower.
C) The number of wild horses increases faster and faster.
D) The number of wild horses increases slower and slower.
3. The function
c(t)=-0.01t^4+0.25t^3-2.33t^2+9.02t+8
represents the number of active shopping carts, c, on a website thours after 8:00 a.m.
What is the difference between c(6)and c(8)?
A) Approximately 1 hour
B) Approximately 2 active carts
C) Approximately 1 active cart
D) Approximately 2 hours
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) 58.6
B) 104.6
C) 87.1
D) 23
5. The traffic flow on a roadway after 8:00 a.m. is modeled by the graphed exponential function.
Which conclusion is valid, based on the horizontal asymptote?
A) The traffic flow will not decrease to 0 vehicles per hour.
B) The traffic flow changes the most after the first 4 hours.
C) The traffic flow will change by a constant rate over time.
D) The rate of traffic flow changes by a constant rate over time.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: A |



