Parent Functions & Discontinuities
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Removable Discontinuity
also known as holes
Reciprocal
f(x) = 1/x
Cube root
f(x) = 3√x
Absolute Value
f(x) = IxI
Constant
f(x) = a
Exponential
f(x) = a to the x power
Trig function (cos)
f(x) = cosx
Logarithmic
f(x) = logax
Trig function (sin)
f(x) = sinx
Linear
f(x) = x
Cubic
f(x) = x cubed
Quadratic
f(x) = x squared
Square root
f(x) = √x
Infinite Discontinuity
occurs when a function has a vertical asymptote on one or both sides of an x-value
Jump Discontinuity
occurs when function has 2 ends that don't meet even if hole is filled in