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100
Explain how the VERTICAL LINE TEST works to determine whether or not a graph is a function.
If the vertical lines hit the graph at only one point, then the graph is a function. If the vertical lines hit the graph at more than one point, then the graph is not a function.
100
What is the product of (2x - 3y)(2x + 3y)?
4x^2 - 9y^2
100
What is the conjugate of 7 + 2i?
7 - 2i
100
Solve for x using COMPLETING THE SQUARE: x^2 + 6x - 11 = 0.
x = {-3 +/- 2rad5}
100
Write i^43 as a power of i in simplest terms.
-i
200
If f(x) = x^2 - 3x + 5, what is the value of f(-2)?
f(-2) = 15
200
When (3x^2 - 5x + 7) is subtracted from (5x^2 + 3x - 9) the difference is?
2x^2 + 8x - 16
200
Find the roots of 2x - 6 = 3/x
x = (3 +/- rad15)/2
200
What is the sum of 7i^7 and 15i^15?
-22i
200
Simplify i^7 + i^9 + i^13
i
300
What is the product of 4i^20 and 6i^13?
24i
300
Solve and graph: |2x - 1| = 9
x = {-4, 5}
300
Simplify: (9x^2y^6)^(-1/2)
1/(3xy^3)
300
Simplify: 5 / (3 + i)
3/2 - 1i/2
300
Simplify (2x^-2y^-2)/(4y^-5)
y^3/(2x^2)
400
Factor completely: 16a^4 - b^8
(4a^2 + b^4)(2a + b^2)(2a - b^2)
400
The roots of the equation x^2 - 3x + 7 = 0
(3 +/- i rad19)/2
400
Solve and graph: |3x + 6| less than or equal to 30
-12<= x <= 8
400
Solve and graph: |4a+6| - 4a= -10
no solution
400
Factor completely: 9a^6 - 16b^8
(3a^3 + 4b^4)(3a^3 - 4b^4)
500
Write and equation for the line that passes through (-4, 3) and is perpendicular to the line whose equations is y = -4x - 1
y = 1/4x + 4
500
Factor completely: a^6 - a^4 - a^2 + 1
(a^2 + 1)(a + 1)(a + 1)(a - 1)(a - 1)
500
Simplify the expression: i^100 + i^101 + i^102
i
500
Brian correctly used a method of completing the square to solve the equation x^2 + 7x - 11 = 0. Brian's first step was to rewrite the equation as x^2 + 7x = 11. He then added a number to both sides of the equation. What number did he add?
49/4
500
Given that Set A contains elements {1, 2, 3} and Set B contains elements {a, b, c}, create a mapping of a relation FROM Set A TO Set B that is NOT a function. Explain why the relationship you drew is not a function
An element from Set A maps to two different elements in Set B.