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Unit 1 Study Guide

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This study guide is an overview of topics that will be assessed on Unit Test. It does
not represent the format of the test or speci c question types. You still need to
review your personal notes.
Use the graph below to complete the information below:
absolute maxima
absolute minima
relative minima
relative maxima
interval(s) of increase
interval(s) of decrease
left end behavior
right end behavior
absolute maxima
absolute minima
relative minima
relative maxima
interval(s) of increase
interval(s) of decrease
left end behavior
fi
right end behavior
Use the graph below to complete the following information:
• Sketch the inverse of the following function
• Provide the domain and range of the inverse
function
• Provide the x-intercept of the inverse function.
• Provide the y-intercept of the inverse function.
_____________________________________________________________________________________
Use the following function de nition to answer the proceeding questions:
f (x) = 2x − 3
1)
What input of “x” satis es the following: f (x) = − 9
2)
Evaluate f (7)
3)
What is the zero of this function?
4)
What is the y-intercept?
_____________________________________________________________________________________
What is the domain and range of this function?
_____________________________________________________________________________________
Family Income
TOTAL TEST SCORE (max. 2400)
Many Universities use a test in their admissions decision. The results of one
such test were paired with family income as reported by test takers, shown by
the table on the right:
10,000
1320
30,000
1402
1) Determine whether or this relation is a function. Explain.
50,000
1461
70,000
1497
90,000
1535
110,000
1569
130,000
1581
150,000
1604
180,000
1625
More than 180,000
1714
2) Suggest reasons why this relationship may exist.
fi
fi
3) Should universities use this information in their admission decisions? If so,
how?
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