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FTCE Math 6-12 Notes
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Gravity
Terms in this set (32)
Cosine =
X
Cube Root - ³√x
Odd Function
Cube - x³
Odd Function
Deductive Reasoning
Moves from general premise to a more specific
Difference of Cubes
a³-b³=(a-b)(a²+ab+b²)
SOAP - same, opposite, always positive
Even Function
graph is symmetric with respect to the y-axis
Exterior Angle Theorem
Measure of exterior angle of a triangle is equal to the sum of the measure of the 2 remote angles
Graph of cosine starts at
1
Graph of sine starts at
the origin
Horizontal Line Test
used to see if the function is a one-to-one
ID Conic: Circle
x² & y² on the same side; they have the same coefficients
ID Conic: Ellipse
x² & y² on the same side; different coefficients of the 'same sign'
IDConic: Hyperbola
x² & y² on the same side; they have coefficients of opposite signs
ID Conic: Parabola
only one of the variables is squared
Inductive Reasoning
moving from a set of specific facts to a general conclusion
Odd Function
graph is symmetric with respect to the x-axis
One-to-One Function
for every 'x' there is only one 'y' and for every 'y' there is only one 'x'
Parabola y=x²
Even Function
Scale Factor for Area
k²
Scale factor for Volume
k³
similar figures
Corresponding angles are congruent and corresponding sides are proportional
Sine =
Y
Square Root - √x
neither even or odd
Sum of Cubes
a³+b³=(a+b)(a²-ab+b²)
SOAP - same, opposite, always positive
Triangle Inequality Theory
Sum of the lengths of any 2 sides of a triangle must be greater than the lengths of the 3rd side
Side 1+Side 2>Side 3
Vertical Line Test
used to test if the graph is a function
x=y²
Neither odd or even function
3 ways to Prove Triangle Similarity
1. AA
2. SSS
3. SAS
30-60-90 Triangle
x (SL), 2x (Hyp), x√3 (LL)
45-45-90
x (Side), x (Side), √2 (Hyp)
Absolute Function
Even Function
Calculator input for Log₂7
log(7)÷log(2)
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