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Calc Even and Odd Functions

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cmarquardt94's version from 2016-09-07 19:36

Section

Question Answer
when is a function EVEN?f(x) = f(-x)
when is a function ODD?f(x) = -f(x)
even functions are symmetic about...the Y-axis
odd functions are symmetric about...the origin (0,0)
how would you write Vertical Translation?y = f(x) +- k
how would you write Horizontal Translation?y = f(x+-c)
in Horizontal Translation if it is (x + c), which way are we shifting?to the Left!
if we have a Horizontal Translation of (x - 5) , what does that mean?we are shifting 5 units to the Right
y = f(-x) is Reflected over...?the Y-axis
y = -f(x) is reflected over...?the X-axis
memorize

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