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WGU Applied-Algebra Exam Syllabus Topics:

Section	Objectives
Exponential Functions	- Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions
Graphical Depictions	- Interpret concavity for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations - Interpret asymptotes for situations - Interpret rates of change for situations
Functions and Algebra of Functions	- Derive conclusions based on data - Derive conclusions based on notation - Derive conclusions based on graphs
Polynomial Functions	- Interpret inputs and outputs for polynomial functions - Interpret concavity for polynomial functions - Interpret rates of change for polynomial functions
Validity of Models	- Determine fit - Determine validity - Examine utility
Logistic Functions	- Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions
Linear Functions	- Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q109-Q114):

NEW QUESTION # 109
A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. The graphed regression function has an r
2value of 0.41. The predicted number of annual bear sightings after 19.4 years is 88.5.

Is this prediction appropriate?

A. No. The r2value indicates a strong fit, but x=19.4 is more than 50% of the range beyond the maximum value.
B. Yes. The r2value indicates a strong fit, and x=19.4 is within 50% of the range of the maximum value.
C. Yes. The r2value indicates a moderate fit, and x=19.4 is within 25% of the range of the maximum value.
D. No. The r2value indicates a moderate fit, but x=19.4 is more than 25% of the range beyond the maximum value.

Answer: D

Explanation:
The r2value of 0.41 indicates a moderate fit, not a strong fit. A moderate regression model may sometimes support limited extrapolation, but only if the prediction stays close to the observed data. Here, the prediction is made at x=19.4, which is beyond the maximum x-value shown in the scatterplot. For a moderate fit, extrapolation should be more conservative than for a strong fit. The value x=19.4 is more than 25% of the data range beyond the maximum observed value, so the prediction is too far outside the data. Because the fit is only moderate and the extrapolation distance is too large, the prediction is not appropriate. Therefore, the answer is B.

NEW QUESTION # 110
The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.

What is the correct interpretation of the minimum value?

A. Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.
B. Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.
C. Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.
D. Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.

Answer: D

Explanation:
The graph shows weekly profit as a function of time.
The horizontal axis represents:
" years since opening "
The vertical axis represents:
" weekly profit in hundreds of dollars "
The graph is an upward-opening curve, so its minimum value occurs at the lowest point, called the vertex.
From the graph, the lowest point occurs at approximately:
t=6
So the minimum weekly profit happened approximately:
6 " years after opening "
The vertical value at this point is approximately:
9.9
Since the profit is measured in hundreds of dollars:
9.9×100=990
So the minimum weekly profit was approximately:
$990
Therefore, the correct answer is:
# ( " A " )

NEW QUESTION # 111
The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r

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