1.1 Features of Functions
CONJUGATE
Complex #'s Standard Form
Dividing Rational Functions
Polynomial Identities
100
Find f(-3) for f(x) =-2x+5
11
100
4 - 3i
4 + 3i
100
5 ( -8i )( 1+i )
-40i - 40i
100
Can you divide by zero in rational functions?
No, it is undefined
100
What is the identity for the square of the difference of two variables?
(a -b)2 = a2 - 2ab + b2
200
Evaluate the expression
l 3x-1 l for x=2
x = 7
200
-1 + i
-1 - i
200
What is
(1 + 2i) + (3 + 4i) + (5 + 6i)?
9 + 12i
200
What is the first step in dividing Rational Functions?
Factor the DOMINATOR
200
What is the name of the Triangle we use in Polynomial Identities?
Pascal's Triangle
300
What is the Slope-Intercept Formula?
y = mx +b
300
4 - 15i
4 + 15i
300
Divide
(4 + 4i) by (2 2i)
2
300
Divide:
(3x3 - 12x) / (3x)
x2 - 4
300
Expand:
(x -3)(x + 5)
x2 + 2x - 15
400
What is the Quadratic Function?
y = ax2 +bx + c
400
-3 - 6i
-3 + 6i
400
Simplify:
( 3 + 2i)(3 - 2i)
13
400
Divide:
7a / 12
400
What does SOAP mean?
S - same sign
O - opposite sign
A - always
P - positive sign
5000
What are the zeros of a function?
The zeros of a function are the values of x that make the function equal to zero (the x-intercepts)
5000
2 + 7i
2 - 7i
5000
What is
(2 + 3i)(4 + 5i)( 1 + i)?
-7 + 37i
5000
What is the LCM?
(x + 2)2 and x2 + 5x + 6
LCM = (x + 2)2 (x + 3)
5000
Expand using the Binomial Theorem:
(3x - 5)3
27x3 - 135x2 + 225x - 125