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Laabri

25-26 FALL FINAL DE 188 Pre Calc

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Last updated 3 months ago
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AII.9-12.3.A
AII.9-12.3.B
AII.9-12.4.A
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1.

Evaluate the function

given:

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2.

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

Domain:

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3.

Evaluate g(9) =

g(-2) =

***Write the reduced fraction or as a whole number if needed.

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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.

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

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9.

Which statement about the function below is true?

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10.

Find the inverse of the function,

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11.

State the vertical and horizontal asymptotes of the graph.

Horizontal Asymptote:

Vertical Asymptote:

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12.

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

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13.

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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14.

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

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15.

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

zeros: ?

Complete Factorization: ?

Choose the correct option

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16.

Find all complex roots of the polynomial function below.

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17.

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

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18.

Graph the following function and identify the following key characteristics.

* No need to submit the graph & Intervals are preferred.

Domain Range:

x-intercepts y-intercepts

Increasing Interval(s): Decreasing Interval(s):

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19.

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

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20.

Which expressions are equivalent to given below? Check all that apply.

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21.

Find the value of the logarithm without using a calculator.

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22.

Use properties of logs to fully expand the following expression.

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23.

Condense the expression:

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24.

Kevin started his new job with a salary of $26,550. Every year, he receives a 3.15% increase in his salary. Write and use a continuous exponential growth function to find his salary after 20 years.

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25.

Solve for x.

Round your answer to the nearest whole number!

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26.

Solve the equation, rounding to the nearest ten-thousandths place when

necessary. Check for extraneous solutions.

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27.

What is the domain for the function? Use Graph.

Domain

What is the x-intercept for the function? Write your answer as an ordered pair.

What is the vertical asymptote for the function?

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28.

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

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29.

Solve the system.

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30.

A museum sells two types of tickets: a child ticket for $20 and an adult ticket for $27. Yesterday, the museum sold a total of 133tickets for a total of $3108.

Write the system of equations.

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8.

Given graph, Identify the location and type of discontinuity