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


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