Pre-Cal 1.4 - 1.6

even function (equation)

f(x) = f(-x)

even function (words)

opposite x values have same y values

odd function (equation)

f(-x) = -f(x)

odd function (words)

opposite x values have opposite y values

even function is:

symmetric across the y axis

odd function is:

symmetric about the origin, 180 rotational symmetry

composite function

output from a function becomes the input for another

reflection across x axis, vertical reflection

f(x) -> -f(x)

reflection across y axis, horizontal reflection

f(x) -> f(-x)

absolute values only affect:

negative numbers

reflects negative y values across the y axis

f(x) ->|f(x)|

negative side becomes reflection of positive side

f(x) -> f(|x|)

inverse function

reflected over y=x