Algebra 2 Honors
FINAL EXAM REVIEW 2016
DUE DATE: June 3, 2016
BRING: Textbook
Pencils, Straight Edge
GraphingCalculator( no TI-Inspire)
TEST FORMAT: Part I: Graphs
Part II: Open-Ended
FORMULAS to Remember:
This Review Packet is due on:
It is worth 45 towards your second semester grade. All work must be shown on separate paper and final solution must be provided on this packet to receive credit.
As a member of the Northern Highlands school community, I abide by the Academic Integrity Policy as outlines in the Student Handbook. By signing below I pledge that I understand the penalties as described in the handbook, and that I in no way shared knowledge with any of my classmates during this assignment.
Signature______Date______
Honors Algebra II/TrigName:______
FinalExam ReviewDue Date: ______
PART I– Graphing (This review is designed to give you a sense of what to expect on the graphing portion of the final. Study the questions carefully, and make sure that you know how to do each of them!)
You are NOT responsible for #4 in this section. However, this topic WILL be on the final exam.
1. POLYNOMIAL FUNCTIONS:[3pts each]
Sketch the graphs of the functions below. Be sure that your graph includes all real zeros, multiplicity, and end behavior using infinity notation.
a)b)
2. Using interval notation, state the intervals at which f(x) > 0. [1 pt]
3. RATIONAL FUNCTIONS: [3 pts]
Provide all of the critical information listed below and graph
x / yState any vertical asymptotes:
State any horizontal asymptotes:
Identify the x and y intercepts:
State any holes:
4.TRIGONOMETRIC FUNCTIONS:[DO NOT NEED TO DO!!]
Sketch the graph of g(x) = - 2 cos (x -) + 3 on the axes below and show two full periods. Hint: Remember yourkeys to understanding the graph: amplitude, period, horizontal and vertical shift, etc.
X / YCALCULATIONS FOR GIVEN FUNCTION, g(x):
Amplitude: Min:
Period:Max:
Interval: Axis of the wave:
5. Logarithmic and Exponential Functions: [3 pts ]
a) Provide a table of values for the base function and sketch the base function with a dashed line
b) State the transformation IN THE ORDER that they occur to the base function
c) Include the final sketch of the transformed function
a) b)
Honors Algebra II/TrigName:______
Final Exam ReviewDue Date: ______
Part II – Short Answer (This review is designed to give you a sense of what to expect on the short answer portion of the final. Study the questions carefully, and make sure that you know how to do each of them)
You are NOT responsible for #19in this section. However, this topic WILL be on the final exam. Each question part is worth 1 point, except 17b and 18 b are worth 2 pts, making this sectionworth 29points for the take home assessment.
Simplify the following:
1. 2. 3. 4.
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Solve the following:
5. State your final answer in interval notation. 8 – |4x-7| 7
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6.
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7. a) Given the quadratic function: , determine the vertex and state whether it is a max or min
point.
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b) Find the roots of f(x).______
8. Given the polynomial function g(x) = with the root x = -3, find all remaining
roots.
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9. Write a cubic function in standard form with integer coefficients/constant that has the
following roots.
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10. Givenand calculate
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11. ; calculate the following:f(5) and f(-2.5)
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12. The coordinate (8,-2) is a solution to the function f(x). Give the coordinates of the new point
after the following transformations are applied to f(x).
y = 5 - f (2x) ______
13. Write the equation of the rational function g(x) given below.
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14.Solve the following:
a) ln(x – 2) -ln(x) = b) c) 8x – 2 =
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15. The cost of a vehicle depreciates at a rate of 5% each year. If the car is worth $15,000 in
2016, in what year will it be worth less than $5,000?
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16. Sketch and label the right triangle in the coordinate plane so that satisfies the following conditions:
cot= -3and csc >0. What is the exact ratio of sec ?
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17. Solve for x, such that for 0 x <2. Give exactvalue answers only.[1,2pts respectively]
A) -2 sin x = B) tan2x = tan x
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18. Solve for , such that 0 < 360. Round your answer to the nearest tenth, if necessary. [1,2pts respectively]
A) 4cos + 2 = -1 B)
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19. Write a sine and cosine function for the given function below:[DO NOT NEED TO DO]
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20.Simplify the following to a single trigonometry term: cos2x(cot2x + 1)
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21.Prove the following identity:
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22. A card is chosen from a standard deck of 52 cards. Find the probability that the card is red or
a queen.
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23. The grades of 30 students on an exam are normally distributed with a mean of 80 and a
standard deviation of 5. Determine the number of students who scored between a 65 and
80.
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