Your descriptors are mostly correct, assuming the column headings are something like ...
... function ... domain ... range ... odd/even ... intercepts ... increasing/decreasing ... ??? ... critical points
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√x is increasing on the interval [0, ∞). There is no branch where the function is decreasing.
1/x has a critical point at x=0. The slope is undefined there.
On my paper I have A hope it’s right cause my professor helped me on zoom with this question
Military power, strength, and national security are the goals of a prince.
Machiavelli’s philosophy is basically to become a good leader you must do anything even it is immoral and wrong. He first writes that a prince’s duty concerning military matter must always think of war only, even in times of peace. They must know their surroundings exactly so they can defend and make effective strategies to counter the enemy’s attack. They must also know historical battles so they will be able to learn their tactics and improve on it. He then talks about the prince’s path: should the prince be generous or a miser. He is saying that it is better to be known as a greedy prince than a generous prince because if the prince follows the good path it will only lead him to destruction while being greedy will result in his safety.