Even & Odd Functions
Power & Radical Functions
Solving Radical Equations
Graphs of Polynomials
Dividing Polynomials
Solving Polynomial Inequalities
100
Even functions are symmetrical across this axis
y-axis
100
Undoes a radical
Power
100
Solve for x:
sqrt(x-9) = 5
x = 34
100
What notation do we use to describe the end behavior of a graph?
Limit Notation
100
(x+3) means x = ?
x = -3
100
f(x) means...
y
200
Odd functions are symmetrical across this point
Origin
200
Undoes a Power
Radical
200
Solve for x:
sqrt(x^2-9)=5
x = +- 34
200
Pronounce this statement:
lim x -> ∞ = ∞
"The limit as x approaches infinity equals infinity"
200
"a" is a zero of polynomial f(x) if...
f(a) = 0
200
Where f(x) = 0
x = -4, x = -1, and x = 1
300
Even functions are defined as
f(x) = f(-x)
300
What is the domain of
sqrt(5x-25)
(5, ∞)
300
Squaring a Radical can often create
Extraneous Solutions
300
Write the end behavior for the following function:
x^3
lim x -> ∞ = ∞
lim x -> -∞ = -∞
300
(True or False) (x-3) is a factor of
2x^3 - 3x^2-11x+6
True
300
Where f(x) > 0
(-4, -1) U (1, ∞)
400
Odd functions are defined as
f(-x) = -f(x)
400
Type of Radical we see the most often
Square Root
400
What are solutions for x?
sqrt(x+4) = x-2
x = 0 and x = 5
400
f(x) = (x-3)(x+2)^2(x-38)^21
bounces at x = ?
x = -2
400
(True or False) (x+2) is a factor of
x^3 -2x^2 -5x + 6
True
400
Where f(x) < 0
(-∞, -4) U (-1, 1)
500
Specific number you look at to determine even or odd polynomial
Degree of Leading Term
500
The highest power of a polynomial
The degree of the polynomial
500
What are real solution(s) for x?
sqrt(x+4) = x-2
x = 5
500
f(x) = (x-3)(x+2)^2(x-38)^21
crosses at x = ?
x = 3 and x = 38
500
(True or False) (x-2) is a factor of
3x^3 + x^2 -8x + 4
False
500
[-3, 5]