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Domain of a radical function using radicand
≥
domain of a rational function using denominator
≠0
finding the inverse of a function
switch x and y and solve for y
even multiplicity
bounces
odd multiplicity
flattens
vertical asymptotes
look at denominator
y=0
numerator is less than denominator
take the top and bottom coefficient
numerator and denominator are equal
slant asymptotes
numerator is 1 more than denominator
horizontal asymptotes for exponential
y=0
exponential critical points
(0,1) (1,2)
vertical asymptotes for log
x =0
logarithmic critical points
(1,0)