Be is neither transitive nor intransitive because it is not an action. Be, and all forms of it, can be used as linking verbs and as auxiliary verbs.
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intransitive
Adverbs aren't transitive or intransitive. Transitive is an action verb that takes a direct object; intransitive is an action verb that does not take a direct object.
INTRANSITIVE. Ex Turned ON
its being done to something or someone
The verb 'to jump' is intransitive. (A person does jump the ground, but jumps on the ground.)