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Identify the axis of symmetry for

Solve the problem.Factor f (x) = x3 + x2 – 10x + 8 given that -4 is a zero.

List the possible rational zeros. f (x) = x7 – 2×5 + 2×2 + 4

Solve the problem.Factor f (x) = x3 + x2 – 10x + 8 given that -4 is a zero.

Determine the end behavior of the graph of the function. f (x) = -3×7 – 5×5 – 7×4 – 7

ESSAY: Doctoral-level responses are expected — demonstrate synthesis, critical analysis, and integration of course concepts. Support your arguments with specific data, examples, and terminology from the course materials. Mr. T. is 80, lives alone, and has moderate Alzheimer’s disease and depression. He can no longer bathe or dress himself and has started wandering at night. His son asks you, as his behavioral health provider, what comes next. Using course material, address each part: Define long-term care and explain how ADLs and IADLs determine Mr. T.’s level of need and his eligibility for insurance benefits. Compare the four types of institutional care and recommend the best setting for Mr. T. Explain how Mr. T.’s care will most likely be paid for, including Medicare’s limits, Medicaid’s role, and key cost figures. Evaluate one current trend in long-term care (the Green House Project, the Village Movement, or the shift to home- and community-based care after Olmstead) and explain what it means for older adults’ mental health.

Dualism is the philosophical position that states the nature of reality is divided into two distinct kinds of things. Which Pre-Socratic philosopher most clearly expresses this position?  We have thus far studied the poets Homer and Hesiod, and the philosophers Thales, Heraclitus, Democritus, and Parmenides. Select one of these philosophers and briefly explain why his work most strongly represents dualism.

Provide a definition of “participation” that was given in class. To gain credit for the answer, you must first put the term into its class and then provide its differentia. No partial credit will be given.

In his response to the Oracle of Delphi’s pronouncement that he is the wisest of all, 1. Socrates first goes to the politicians, but finds they are not wise because they believe themselves to be wise. 2. After the politicians, he seeks out the poets because they say wise things, but discovers they do not understand why they say wise things. Hence they cannot be wise because if one were wise, they would know why they said wise things. 3.The last class of those he visits are the craftsmen and discovers they know only their craft but think they know everything. Therefore they cannot be wise either. 4. Socrates concludes that he must be the wisest of all because he is the only one who realizes that he does not know.

Define the term “monism” by placing the term into its class and providing its differentia. Give an example.