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MAT 188 Unit 2 EXAM 2025-2026

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Last updated about 3 hours ago
19 questions
Required
6
Required
6
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1
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2
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2
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2
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2
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2
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2
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2
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4
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1
Required
1
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1
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1
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1.5
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1.5
Question 1
1.
Graph the following function and identify the following key characteristics.


* No need to submit the graph*

Domain _______ Range: _______
x-intercepts:_______ y-intercepts:_______
Increasing Interval(s): _______ Decreasing Interval(s):_______
Question 2
2.
Graph the following function and identify the following key characteristics.



* No need to submit the graph

Domain _______ Range: _______
x-intercepts_______ y-intercepts_______
Increasing Interval(s): _______ Decreasing Interval(s):_______
Graph the function and identify the key characteristics.

2
Question 3
3.
Slant Asymptote is _______
Hole(s) _______
Required
2
Question 4
4.
V.A. is _______
H.A. is _______
Question 5
5.
Use the Rational Zero Theorem to list all possible rational zeros.
_______
Question 6
6.
Use Descartes’ Rule to give the possible number of positive and negative real zeros.

Positive Real Zeros: _______
Negative Real zeros:_______
Question 7
7.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 8
8.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 9
9.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 10
10.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 11
11.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 12
12.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 13
13.
List the zeros of the function below, state their multiplicities, and describe the effect the multiplicity has on the graph by indicating whether the function intersects or is tangent to the x-axis at that point.

Zero: _______ Multiplicity _______ Effect _______

Zero: _______ Multiplicity_______ Effect _______

Zero: _______ Multiplicity _______ Effect _______

Zero: _______ Multiplicity_______ Effect _______
Question 14
14.

Use the Factor Theorem to determine which binomials are factors of the function below.

Question 15
15.

Given the graph of a polynomial function to the left, determine the sign of the leading coefficient and whether the function has an even or odd degree.

Question 16
16.

Use the Remainder Theorem to evaluate f(x) at x = c.

Question 17
17.

Use the Remainder Theorem to evaluate f(x) at x = c.

Question 18
18.
Use the given zeros to write a polynomial function
_______
and
What is the degree of the resulting polynomial?_______
Question 19
19.
Use the given zeros to write a polynomial function
_______

The degree of the Polynomial Function is _______
Odd Degree