Domain, Range, End Behavior
Characteristics
Transformations
Complex Numbers
Solve for x
100
How do you write this in interval notation?
(-3, 5]
100
How many turning points does this function have?
2
100
What does the h parameter do?
translates left or right
100
Simplify
(5+7i)+(3-2i)
8+5i
100
Name how many and the type of solutions for the following equation.
x^2=16
2 real solutions
200
What is the domain and range of the following function in set notation?
{x|xepsilon RR} and {f(x)|f(x)epsilon RR}
200
Find the AROC on the interval [0, 3]. 
AROC=3
200
what does the k parameter do?
translates up or down
200
(6+2i)-(4-7i)
2+9i
200
Find the solutions to the following equation.
x^2=-16
+-4i
300
What is the domain and range in interval notation?
D:
[-1, infty)
R:
[0, infty)
300
Along which interval(s) is this graph increasing?
(0, infty)
300
What transformation is happening from the b value of this equation?
g(x)=3f(1/2x-4)+6
Horizontal stretch by 2.
300
(4+5i)(3+6i)
-18+39i
300
Use the discriminant to determine the number and type of solutions of the following quadratic.
17x^2-2x+19
2 imaginary solutions
400
What is the end behavior of this graph?
As x --> ∞, f(x) --> ∞
As x --> -∞, f(x) --> -∞
400
Along which interval(s) is this graph decreasing?
(90, 270)
400
What is a, b, h, and k?
g(x) = f(x-7) + 6
a = 1
h = 7
k = 6
400
What is the complex conjugate of the following complex number?
374-27i
374+27i
400
Solve
(x-3)^2=49
x=-4, 10
500
State the end behavior of the function f(x) and state where the function is increasing and decreasing.
(in the proper structure)
As x --> infty , f(x)--> infty
As x --> - infty , f(x) --> infty
Increasing:
(-0.5, 0.5)cup(3,infty)
Decreasing:
(-infty,-0.5)cup(0.5,3)
500
Along which interval(s) is this graph increasing?
(0, 90)cup(270, 360)
500
Write a function g(x) that shows a vertical stretch of f(x) by 2 and a horizontal translation 5 units to the right.
g(x)=2f(x-5)
500
(9i)/(4+3i)
(27+36i)/25
500
Complete the square to solve
x^2+14x=-24
Completing the square work shown!
x=-2, -12