A description of the final sections of something graphed.
End Behaviors
The first step of factoring.
Combine like terms
x2 + 5x + 6 = 0
x1 = -3, x2 = -2
The first rule of dealing with radicals and variables.
m√an = an/m
This rule is commonly misconstrued.
Rule of Multiplication
This graph leaps and bounds.
Jump Discontinuity
Next step to factor this equation:
63x3 - 16x2 + 21
Remove the GCF.
8x2 + 6x - 4 = 0
x1 = -1.2, x2 = 0.4
et/y =
y√et
This rule is like a burden being relieved.
Rule of Division
Something that extends but never reaches its limit.
Relative Extrema
Do this if your equation is a quadratic.
Find a(c), then two numbers that multiply to get the result and add to get b.
27x2 + 18x + 3 = 0
x1 = -1/3, x2 = -1/3
8√46
43/4
This rule commonly has its methods used elsewhere.
Power to a power.
This one has a clear beginning, but it's hard to see when it ends.
Endpoint Discontinuity
Next step to factor this equation:
(x2-49)(x+3)
Difference of squares.
38x2 - 6x + 125 = 0
No real numbers.
3√n2 - 4√c2/12n-4 - t5 + c-4
n11/2 - c8 / 12 - t5
4(w2x-8y-3)7/16x2y-5
w14/4x58y16
This is one instance of a plateau -- it forms a straight line.
Constant Interval
3x2 - 8x + 4
(x+2)(3x-2)
16x3 + 14x2 + 25x = 18
x1 = 1/2, x2 = 1/2
et/y =
y√et
5(2x5 + 5x-2)/5(2x-5 + 5x2)3
2x11 + 5/127