Define default option values for the function f:

Define f, allowing options to be given:

Use f with an explicit option setting:

Use f with options taken to have their default values:

Define default option values for this assignment without explicitly setting up Options[f]:

Take default option values from Plot:

Use the defaults from Plot:

Override one of the defaults from Plot:

Use the options of ArcLength, but override the default value of Method:

Explicit option settings are honored:

f uses the same default as ArcLength for Assumptions, but not Method:

Take options from both Plot and Plot3D:

Give an explicit setting:

For common options, the default is inherited from Plot:

The function g inherits defaults for common options from Plot3D:

Use OptionsPattern with no default options:

Explicit uses of the option are honored:

The option name is returned if not explicitly present in the options:

OptionsPattern can be used in normal pattern-matching functions like ReplaceAll:

Define the default option values for a function f:

Implement f using a helper function fCore, but still inherit defaults from f:

The default option value of f is honored:

An explicit option settings takes precedence:

Define two functions with options:

Define a function h that uses both sets of options, giving preference to the defaults of g:

OptionsPattern matches any sequence of rules or lists of rules:

An empty sequence matches OptionsPattern:

An empty list matches OptionsPattern:

OptionsPattern will match any set of options:

This may cause messages if invalid options are passed:

FilterRules can be used to only use options valid for f:

Any nesting of empty lists will match OptionsPattern: