Topics for Unit 4 Test

TOPICS FOR TRIG UNIT 4 TEST:
-  Areas of triangles, parallelograms, regular  polygons, sectors, and segments
-  Bearing problems
-  SSA ambiguous case:  determining # of triangles and solving them
-  Radians:  finding reference angles, coterminal angles, and values of special angles without a calculator
-  Graphs and equations of sine/cosine functions with amplitude/period changes and horizontal/vertical shifts
-  Reciprocal functions:  x,y,r problems and values of special angles without a calculator

Additional questions on homework

Find the reference angle for the following:
1.  2.84
2.  16.3
3.  -1.75


Find a positive and negative coterminal angle for:
4.  5.2
5.  -19.25

2nd online assignment

Graphs for assignment due 10-26

Find the equation of a sine function (or cosine if better..) of the graphs on the following worksheet:  GRAPHS (PART 2)

HW due 10/25

Determine the amplitude, period, vertical shift, and phase shift for the problems in the following document:   Worksheet #1

(Treat all functions as sine functions unless you state otherwise)

Test on Thursday, October 6h

Here are the topics for Thursday's test:


1.Linear equations:  using point-slope form to find equations of lines given:  slope and a point, two    
       points, line to be parallel to, line to be perpendicular to

2. Transformations of functions (powers, roots, absolute values, greatest integer) : translated, dilated,
      reflected over x-axis   NO GRAPHING CALCULATOR ALLOWED!

3. Domains and ranges of functions

4. Piece-defined functions

5. Polynomial functions:  zeros, max/mins, end-behavior, finding all zeros exactly using long division
     and quadratic formula

Unit 1 Test

EXPLANATION OF MY COLOR CODING:
GREEN:  problems I am least concerned about;  a small amount of review and most of you should do fine
RED:   problems that concern me;  you don't study up on these most of you are in trouble!!!
BLUE:  "intermediate" problems

1 problem: Plugging a number into a function involving [ ] (greatest integer function)
1 problem:   Finding the value(s) of x excluded from the domain of a root function
1 problem:  Finding the value(s) of x excluded from the domain of a function that is a fraction
2 problems:  Solving polynomial equations (and stating how many additional solutions not "visible") using technology
1 problem:  Solving a 1-variable second degree inequality using technology
3 problems:  Composition of functions -->  fog, gof, and f(f(f( )))
1 problem:  "Prove" that two functions are inverses using the definition of inverse fog = gof = x
2 problems:  Determine if functions are inverses (any method)
1 problem:  Graph a function's inverse, determine if the inverse is a function
1 problem:  Given a point, find the corresponding point symmetric to it with respect to the x-axis, y-axis, and origin.
1 problem:  Given a portion of a graph, complete it so that it has x-axis, y-axis, origin, and y = x symmetry
4 problems:  Determine if an equation exhibits x-axis, y-axis, or origin symmetry
3 problems:  Determine if a function is even, odd, or neither
1 problem:  Algebraic linear programming problem (constraints and function given)
1 problem:  "Set up" an everyday linear programming problem

CK12 Work for Th, F, T

Do all of the guided practice and practice problems at:   CK12 Parametrics

(Also click the "assessment" option at the top and give that a try if you complete everything else...)

NOTES FOR LIMITS OF RATIONAL FUNCTIONS

Click on the pdf below:
  NOTES

Also - please be careful on the worksheet as not all horizontal asymptotes are necessarily indicated with dotted lines.  If it seems to "level out" before the arrow tip, assume it is an HA.

SOLVING TRIG EQUATION NOTES FROM 4-22

Click HERE for the completed notes page.

Unit 10 Review

REVIEW

KEY

EXTRA CREDIT PROBLEM

Test Review Key

After you finish, check your answers HERE

Review for Unit 9 Test on Tuesday, March 15th

The key will eventually follow:

TEST REVIEW

VIDEOS FOR LEAP DAY!

Before attempting the homework, watch (and even re-watch if necessary) the following videos:

Example 1

Example 2

Example 3

Example 4 (different author)

Remember the assignment due Tuesday is the following:
pages 381-382:  #7-11, 19-21, 26-28

HW quiz is Tuesday, timed quiz will be Wednesday.

Weekly Extra Credit Problem - 2nd try!!

This was last week's problem:

An entry door, measuring 36inches wide and 82 inches high, is to have an oval window installed and the door must be "cut out" to accommodate the window.  There must be at least two inches of wood on any side of the window, and the bottom requires four additional inches of space from the window.  How can a perfect ellipse be constructed to produce as large of a window as possible?   Be specific about exactly where to place your foci and what size of "loop" must be used in tracing out the ellipse.


Revised question:  Find the location of the foci and the length of string needed to make an ellipse with a major axis of length 74 inches and a minor axis of length 32 inches.
(this is the answer to last week's question!!)

Answer Key for review

Look for the original questions without answers on a posting further down the page.

SOLUTIONS

EXTRA CREDIT for Friday, Feb. 5th

Solve the system below using algebraic methods:

Review questions for test

Remember you will be turning in your work for these questions on Monday.  The answer key will be posted sometime over the weekend - keep checking back!

REVIEW

Answers to 4-question review (you show work!!)

1.  center:  (-2, 4);  radius:  15
2.  (x - 1)^2 + (y + 2)^2 = 10
3.  17.92 %
4.  (-0.85, 1.79),  (8.85, 4.21)

Review Questions We Did in Class For Unit 6 Test

Click on the PDF below:

Unit 6 Review