Level 377
Level 379

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a(x+d)^2+e=0

completing the square

Vertical Asymptotes

zeroes of denominator

Horizontal Asymptotes

y=0 when degree of denominator > degree of numerator

X-intercepts

the point on a graph where y = 0, also points where the graph crosses the x-axis

both pieces go in the same direction

asymptote comes from factor with even multiplicity

y-intercept

the point where the line crosses the y-axis

Holes

when same factor occurs in numerator and denominator

coordinates of holes

find zeroes of holes and plug into the equation with the holes cancelled out

no x-intercept

can't solve for zeroes in numerator

no vertical asymptote

can't solve for zeroes in denominator

oblique asymptotes

when degree in numerator > degree in denominator

recursion

can not be evaluated for a particular input value resulting in a single output value

closed form functions

can be evaluated for a particular input value resulting in a single output value

iteration

current value determines next value

recursion on calculator

MODE --> SEQ

equilibrium

make A(n) and A(n-1) equal and solve