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FALL FINAL DE 188_UNIT 1_ 2024-2025

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Last updated about 2 hours ago
30 questions
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Question 1
1.

Evaluate the function
given:

Question 2
2.
Given the functions below, find (g – f)(x) and give its domain.


_______
Domain:
_______
Required
2
Question 3
3.
Evaluate g(9) = _______
g(-2) = _______
Question 4
4.

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

Question 5
5.
Given the functions below, find and give its domain.

_______
Domain:
_______
Question 6
6.
Given the functions below, find
and give its domain.



_______
Domain:
_______
Question 7
7.
Given the functions below, find
and give its domain.

_______
Domain:
_______
Question 8
8.

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

Question 9
9.

Is the above function one-to-one?

Required
3
Question 11
11.

Which statement about the function below is true?

Question 12
12.
Find the inverse of the function,



_______
Question 13
13.

Write equation explicitly in terms of x.

Question 14
14.
State the vertical and horizontal asymptotes of the graph.
Horizontal Asymptote: _______
Vertical Asymptote:_______
Question 15
15.

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

Question 16
16.

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 17
17.

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

Question 18
18.
Find all zeros and give the complete factorization of the function. Simplify all irrational and complex solutions.

zeros: _______
Complete Factorization:_______
Question 19
19.
Use Descartes’ Rule to give the possible number of positive and negative real zeros.

Positive Real Zeros: _______
Negative Real zeros:_______
Question 20
20.
Use the Rational Zero Theorem to list all possible rational zeros.
_______
Question 21
21.
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 22
22.

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

Question 23
23.

What are the dimensions of this matrix?

Question 24
24.

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


Question 25
25.

Determine whether the given matrices are inverses of each other.

Question 26
26.
Matrix A does not have an inverse if the _______ equals _______
Question 27
27.
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: _______
Question 28
28.

Find the determinant of the matrix

Question 29
29.

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

Question 30
30.

Question 10
10.

Positive Leading Coefficient
None
-3+2i
Solve System of Equations using Cramer's Rule.





What would be the value of y?
y = 8
y = 6
y = -1
y = -8
y = -6
Given graph, Identify the location and type of discontinuity
X=-2 Removable
x= -2 Infinite
x = -2, Jump
x =5 Jump
x=5removable
x=3 removable
x= 5 infinite
x= 3 Infinite
x=3 Jump