Barry Goldwater, delivering a hortatory speech

Hortatory

adj. Giving exhortation or advice; encouraging; exhortatory; inciting; as, a hortatory speech.

Companion to the word “minatory”, which means to threaten instead of simply urging

Examples:

Considering the avowed purpose of his work, which is rather hortatory than historical, we are fortunate indeed to be given so much first-hand information by this embittered preacher.
— Nowell Myres, in Roman Britain and the English Settlements (1937) p. 329

The hortatory narrative was a peculiar species of literature which was frequently cultivated during our period. Stories of a purely fictitious character were composed which the author no doubt intended to be regarded as founded on fact, though at the same time the object in view was not so much to impart historical information, as to use these stories as a vehicle for conveying oral and religious lessons and exhortations.
— Emil Schürer, A History of the Jewish People in the time of Jesus Christ

As I begin this hortatory address to you, ye men of Greece, I pray God that I may know what I ought to say to you, and that you, shaking off your habitual love of disputing, and being delivered from the error of your fathers, may now choose what is profitable
— Justin Martyr, Justin’s Hortatory Address to the Greeks

Etymology:
15th century, neoclassical Latin, Hortati means “to exhort”, an intensified version of Horiri, “to urge”. Same origin as “exhortation”.