MAT 188 Unit 2 EXAM 2025-2026

Last updated about 3 hours ago

19 questions

Required

1.5

Required

1.5

MAT 188 Unit 2 EXAM 2025-2026

Last updated about 3 hours ago

19 questions

Required

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):_______ 

Required

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.

Slant Asymptote is _______ 
Hole(s) _______ 

Required

V.A. is _______ 
H.A. is _______ 

Required

Use the Rational Zero Theorem to list all possible rational zeros.
_______ 

Required

Use Descartes’ Rule to give the possible number of positive and negative real zeros.

Positive Real Zeros: _______ 
Negative Real zeros:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

 zeros: _______ 
Complete Factorization:_______ 

Required

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 _______ 

Required

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

(x-3)

(x+1)

(x-7)

Required

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.

Negative Leading Coefficient

Even Degree

Positive Leading Coefficient

Required

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

Required

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

Required

1.5

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

Required

1.5

Use the given zeros to write a polynomial function
_______ 

The degree of the Polynomial Function is _______ 