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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Graphical Depictions | - Interpret asymptotes for situations - Interpret concavity for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations - Interpret rates of change for situations |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on data - Derive conclusions based on graphs |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Validity of Models | - Determine fit - Examine utility - Determine validity |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. Based on collected data, the value of a painting can be modeled using the exponential function f(x)=240(1.12) x
. In this case, x represents the number of years since 2005, and f(x) represents the value of the painting in dollars.
Which value represents the average yearly rate of change of the painting's value from 2013 to 2015?
A) 151.17
B) 75.59
C) 74.42
D) 669.82
2. The graph shows the total cost of a lumber delivery based on the number of identical boards ordered.
What is the cost of each additional board?
A) $42.00
B) $2.70
C) $15.00
D) $17.70
3. The graph shows the number of people waiting in a virtual queue to buy tickets for an event.
What does the horizontal asymptote mean?
A) Over time, the number of people in the queue will increase back up to 750.
B) Eventually, the number of people in the queue will decrease to 0.
C) The number of people in the queue was initially 750.
D) As time passes, the number of people in the queue approaches 100.
4. An exponential growth function can be used to model the number of bacteria in a population. The function G(t)=1,600× # 1.31 # ^t is the model, with Grepresenting the number of bacteria cells and trepresenting the time in minutes.
What is the size of the population after 25 minutes?
A) 1,367,421
B) 796,819
C) 1,791,322
D) 1,043,833
5. 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) 32.5
B) 5.91
C) 5
D) 45
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: A | Question # 5 Answer: C |



