FUNCTIONS Flashcards
y = -f(x)
Reflection in x axis
y = f(-x)
Reflection in y axis
y = f(x-a)
Translation of a units to the right
y = f(x+a)
Translation of a units to the left
y = f(x) + a
Translation of a units up
y = f(x) - a
Translation of a units down
y = kf(x)
Stretch in the y direction with scale factor k - taller or shorter
y = f(kx)
Stretch in the x direction with scale factor 1/k - narrower/wider
natural domain of x^2
x is a real number
natural domain of root x
x > or = to 0
natural domain of 1/x
x not = to 0
natural domain of 1/rootx
x > 0
even function
f(-x) = f(x)
odd function
f(-x) = -f(x)
finding x intercept
set f(x) = 0
finding y intercept
sub in x as 0
equations for asymptotes of function in form y = (b/cx+d) + a
x = -d/c
y = a
equations for asymptotes of function in form y = (ax+b)/(cx+d)
x = -d/c
y = a/c
