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To find zeroes of rational functions
look in the numerator.
A hole is created in a rational function when:
the numerator and denominator share a common factor.
When looking for a Vertical Asymptote in a rational function.
set the denominator equal to zero, excluding any values that create holes.
When finding where values are above or below the x axis on a graph?
LOOK!
When finding where values are above or below the x axis with a function in factored form?
Use a number line (sign chart)
When finding where values are above or below the x axis with a rational function?
make a number line and test values of the numerator and the denominator.
When finding where a function is increasing or decreasing on a graph?
LOOK!
What is an absolute extrema?
The very highest or lowest point of a function.
What is a relative extrema?
the highest or lowest value of a specific region.
Over closed intervals, end points are considered
Extremas.