1.2 : INTRO TO RELATIONS AND FUNCTIONS
Terminology
1. Interval notation vs set-builder notation vs graph (number line)
Ex. Write using interval notation and graph
a) cfw_x | x -3
b) cfw_x | -5 < x -4
2.2 - 2.3 Transformational Graphing
(2.2) Horizontal and Vertical Shifts
Explore: Graph each function
a) y = x2
b) y = x2 + 3
c) y = x2 2
d) y =
e) y = + 2
f) y = - 4
Observation:_
So, f(x) can be tr
Section 2.1
Graph of basic functions
Continuous:_
Increasing, decreasing, constant: _
Determine the largest interval of the domain over which the function is
continuous.
Determine intervals of increas
SECTION 3.5
Higher degree functions and end behavior
VOC:
1) Terms-_
2) Degree - _
3) Leading Term - _
4) Coefficient - _
5) Leading Coefficient - _
6) Constant - _
*Polynomials should first be writte
Notes 3.2 3.3
K. Lee
Quadratic Equation:
Standard Form:
f(x) = _
Vertex Form:
f(x) = _
Vertex (
,
)
Axis of symmetry - x = _
Direction is determined by the _ value
Min/Max is at the value of y = _
MAT
3.1 Complex Numbers
Complex numbers are made up of the _ and
_.
Imaginary Numbers Review
By definition: i = _
So.
i2 = _
i3 = _
i4 = _
*This pattern repeats every 4 powers
Simplify:
Ex. i8
Ex. i19
Ex.
3.4 NOTES APPLICATIONS OF QUADRATICS
1) Find the max value of y = -2x2 + 8x 5
2) Suppose x represents one of two positive numbers whose sum is 45. For
what two such numbers is the product equal to 504
Section 7.4: Adding and Subtracting with UNLike Denominators
Review from Section 7.3:
Add or Subtract.
1.
2 2 5
3
46
2.
3
7
4
47
47
Find the least common denominator. Show all steps.
3.
5.
3
8
4 2 36
Section 7.1: Rational Functions and Simplifying Rational Expressions
What are rational numbers? _
Objectives:
Find the domain
Simplify Rational Expressions
Find the value of a rational function
Find t
Review of Factoring (part 3) and Solving by Factoring:
Section 6.4: Factor Trinomials by Grouping AND Slide and Divide
Remember:
Three terms (trinomial)
+C
_ to get middle
_ signs
-C
_ to get middle
_
Section 4.5: Problem Solving using Systems of Equations
What is the first thing you do when you are given a Word Problem?
(skip it is NOT the correct answer!)
1) _ to determine the _ of word problem.
Section 4.3: Solve Systems of Equations by ADDITION (Elimination)
Why do we need a third way to solve systems?
Because this is Mrs. Kitts FAVORITE! Also, remember the last example from
Section 4.2?
5
Section 4.2: Solve Systems of Equations by SUBSTITUTION
Why do we need another way to solve systems? Remember the solution to a
system of equations is where the two lines cross.
Here are some possible