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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
| Validity of Models | - Determine fit - Determine validity - Examine utility |
| Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Graphical Depictions | - Interpret rates of change for situations - Interpret maximum and minimum for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret concavity for situations |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on data - Derive conclusions based on graphs |
| Logistic Functions | - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?
A) 77.25
B) 11.04
C) -23.3
D) -5.83
2. 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 increasing at a constant rate of 35 fish per month.
B) The number of fish in the lake is increasing at a constant rate of 462 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 decreasing at a constant rate of 35 fish per month.
3. The graph shows the number of books, N, checked out from a library each week. The number of weeks since the beginning of the year is on the horizontal axis, and the number of books checked out per week is on the vertical axis. Point A represents 165 books checked out in the first week, or N(0)=165. Which statement represents an accurate conclusion?
Exhibit:
A) Point C represents N(5.6)=152.5.
B) Point B represents N(2.8)=177.
C) Point D represents N(8.4)=142.5.
D) Point E represents N(11.2)=147.5.
4. The number of people auditioning for a game show is expected to be 7 more than the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A(t) represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 440 people auditioned last year?
A) A(447)=440
B) A(433)=440
C) A(440)=447
D) A(440)=433
5. A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
2
=0.99.
Which range of x-values is appropriate for extrapolation?
A) x=2.5 to x=17.5
B) x=0 to x=20
C) Extrapolation is not appropriate because r
2
< 1.
D) Extrapolation is not appropriate because r
2
> 0.7.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: A |
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