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Laabri

FALL FINAL DE 188_UNIT 1_ 2024-2025

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Last updated 3 months ago
30 Nsɛmmisa
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N.VM.6
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Evaluate the function

given:

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2.

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

Domain:

Ɛhia
2
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3.

Evaluate g(9) =

g(-2) =

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4.

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

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5.

Given the functions below, find and give its domain.

Domain:

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6.

Given the functions below, find

and give its domain.

Domain:

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7.

Given the functions below, find

and give its domain.

Domain:

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8.

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

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9.

Is the above function one-to-one?

Ɛhia
3
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11.

Which statement about the function below is true?

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12.

Find the inverse of the function,

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13.

Write equation explicitly in terms of x.

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14.

State the vertical and horizontal asymptotes of the graph.

Horizontal Asymptote:

Vertical Asymptote:

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15.

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

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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.

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17.

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

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18.

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

zeros:

Complete Factorization:

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19.

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

Positive Real Zeros:

Negative Real zeros:

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20.

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

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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):

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22.

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

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23.

What are the dimensions of this matrix?

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24.

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

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25.

Determine whether the given matrices are inverses of each other.

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26.

Matrix A does not have an inverse if the equals

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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:

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28.

Find the determinant of the matrix

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29.

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

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30.

Solve System of Equations using Cramer's Rule.

What would be the value of y?

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10.

Given graph, Identify the location and type of discontinuity