Need Statements Page 1

x-intercepts/zeros

x-intercepts/zeros

y = 0 OR f(x) = 0

y-intercepts

x = 0

symmetry to y-axis/even function

f(-x) = f(x)

symmetry to origin/odd function

f(-x) = -f(x)

symmetry to x-axis

-f(x) = f(x)

parallel lines

m1 = m2

perpendicular lines

m1 = -1/m2

domain of 1/s(x)

s(x) does not = 0

intersection of f and g

f(x) = g(x)

domain of sqrt[s(x)]

s(x) >/= 0

domain ln[s(x)]

s(x) > 0

rational functions zeros

num = 0

vertical asymptote

simplify, denom = 0, and lim(x—>a^±) f(x) = ± infinity

horizontal asymptote

deg num = deg denom, divide, and lim(x—> ±infinity) f(x) = ±a

x-axis asymptote

deg num < deg denom and lim(x—>± infinity) f(x) = 0

slant asymptote

deg num = 1 + deg denom, divide