Is "this" an adjective or determiner if you are doing a syntax tree diagram branching out from a NP?

I will surely leave this job without a penny in my pocket.

Is "without" a preposition?

Yes, "this" is a pronominal adjective or a determiner.

And yes, "without" is a preposition.

=)

yes it is a preposition

To determine whether "this" is an adjective or determiner in the sentence "I will surely leave this job without a penny in my pocket," we can analyze the syntax tree diagram.

In a syntax tree diagram, the NP (noun phrase) is the main node or the root, and we need to identify the constituents (the immediate children nodes). Typically, an NP consists of a determiner and a noun.

In this sentence, "this" directly modifies the noun "job" and indicates a specific job. Since it is functioning as a modifier for the noun, "this" is categorized as a determiner.

Regarding the second question, "without" is a preposition. A preposition typically shows a relationship between a noun (or pronoun) and another element in the sentence. In the given sentence, "without" shows the relationship between "a penny" and "my pocket." It indicates the absence or lack of something. Therefore, "without" is functioning as a preposition in this context.