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Even Functions

When every x-value in its given domain is also in their respected −x-values:
f (−x) = f (x) and (x, y) → (−x, y)

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Odd Functions

When every x-value in its given domain is also in their respected −x-values:
f (−x) = −f (x) and (x, y) → (−x, −y)

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Local Maximum

A function has one at v if there’s an I, an open interval, contains c so that, for
all x-values in an I to make it f (x) ≤ f (c)
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Local Maximum’s f(c) Value

Local maximum value

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Local Minimum

A function has one at v if there’s an I, an open interval, contains c so that, for
all x-values in an I to make it f (x) ≥ f (c)
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1

Local Minimum’s f(c) Value

Local minimum value

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Absolute Maximum

When f notes a function when some interval and that there’s a number in an
interval for which f (x) ≤ f (u), which would make f (u)
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1

Absolute Maximum’s f(c) Value

Absolute maximum value

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Absolute Minimum

When a number in an interval for which f (x) ≥ f (u) for all values of x in an
interval, which would make f (u)
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1

Absolute Minimum’s f(c) Value

Absolute minimum value

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Extreme Value Theorem

If f ’s a continuous function with a domain being in a closed interval of [a, b],
then f ’s going to have both an absolute maximum and an absolute minimum
on [a, b]
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b−a

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Secant Line’s Slope

When a function’s average rate of change, from both a and b being equaled to
the secant line’s slope that contains both points of (a, f (a)) and (b, f (b)) on the
graph
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Finding the average rate of change from the function
from two points
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finding the equation of the secant line that contains
(a, f (a)) and (b, f (b))
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Graph the two together on the same xy-plane

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