FALL FINAL DE 188_UNIT 1_ 2024-2025

Required

1

Evaluate the function
given:

Required

2

Given the functions below, find (g – f)(x) and give its domain.


_______ 
Domain:
_______ 

Required

2

Evaluate g(9) = _______ 
                 g(-2) = _______ 

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1

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2

Given the functions below, find and give its domain.

_______ 
Domain:
_______ 

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2

Given the functions below, find 
and give its domain.



_______ 
Domain:
 _______

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2

Given the functions below, find   
      and give its domain.

_______ 
Domain:
_______ 

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1

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1

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3

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1

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1

Find the inverse of the function,

_______

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1

Write equation explicitly in terms of x.

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2

State the vertical and horizontal asymptotes of the graph.
Horizontal Asymptote: _______ 
Vertical Asymptote:_______ 

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1

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

Required

1

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1

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2

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

 zeros: _______ 
Complete Factorization:_______ 

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2

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

Positive Real Zeros: _______ 
Negative Real zeros:_______ 

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1

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

Required

6

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):_______

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1

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1

N.VM.6

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1

Find the solution to the system of equations. Write your solution in terms of co-ordinate.

Required

1

Required

2

Matrix A does not have an inverse if the _______ equals _______ 

Required

3

At the beginning of baseball season, three coaches bought extra supplies for their seasons. The Braves coach ordered 2 bats, 8 balls, and 5 gloves for $300. The Marlins’ coach ordered 3 bats, 5 balls, and 4 gloves for $310. The Astros’ coach bought 1 bat, 9 balls, and 7 gloves for $314. Use Cramer’s Rule to determine the price of each item.

bats: _______ 
balls: _______ 
gloves: _______ 

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1

Find the determinant of the matrix

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1

If triangle DEF has vertices D(-8,3), E(-1,5) and (-3,-6). Find the area of the triangle.

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1

FALL FINAL DE 188_UNIT 1_ 2024-2025

Evaluate the function
given:

Write equation explicitly in terms of x.

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

Find the solution to the system of equations. Write your solution in terms of co-ordinate.

Find the determinant of the matrix

If triangle DEF has vertices D(-8,3), E(-1,5) and (-3,-6). Find the area of the triangle.

Evaluate the function
given:

Determine whether the function below is even, odd, or neither. Prove your answer algebraically.

Which relation below represents a one-to-one function?

Is the above function one-to-one?

Which statement about the function below is true?

Write equation explicitly in terms of x.

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

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.

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

What would be the complex conjugate of '3+2i'

What are the dimensions of this matrix?

Find the solution to the system of equations. Write your solution in terms of co-ordinate.

Determine whether the given matrices are inverses of each other.

Find the determinant of the matrix

If triangle DEF has vertices D(-8,3), E(-1,5) and (-3,-6). Find the area of the triangle.

Solve System of Equations using Cramer's Rule.

What would be the value of y?

Given graph, Identify the location and type of discontinuity

FALL FINAL DE 188_UNIT 1_ 2024-2025

FALL FINAL DE 188_UNIT 1_ 2024-2025

Evaluate the function given:

Write equation explicitly in terms of x.

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

Find the solution to the system of equations. Write your solution in terms of co-ordinate.

Find the determinant of the matrix

If triangle DEF has vertices D(-8,3), E(-1,5) and (-3,-6). Find the area of the triangle.

Evaluate the function given:

Determine whether the function below is even, odd, or neither. Prove your answer algebraically.

Which relation below represents a one-to-one function?

Is the above function one-to-one?

Which statement about the function below is true?

Write equation explicitly in terms of x.

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

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.

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

What would be the complex conjugate of '3+2i'

What are the dimensions of this matrix?

Find the solution to the system of equations. Write your solution in terms of co-ordinate.

Determine whether the given matrices are inverses of each other.

Find the determinant of the matrix

If triangle DEF has vertices D(-8,3), E(-1,5) and (-3,-6). Find the area of the triangle.

Solve System of Equations using Cramer's Rule.What would be the value of y?

Given graph, Identify the location and type of discontinuity

Evaluate the function
given:

Evaluate the function
given:

Solve System of Equations using Cramer's Rule.

What would be the value of y?