MATH 131 University of Idaho Polynomial and A Rational Function Discussion

How do you know when you have factored completely? Give examples to support your response.
Explain the properties for exponents and radicals. In what ways are the similar? Give examples to support your response.
Explain the difference between the multiplication property of equality and the multiplication property for inequalities. Give examples to support your response.
Why do some equations in this chapter have two solutions instead of one? Give examples to support your response.
Is every line the graph of a function? Explain.
Describe the domain and range for the six basic functions. Explain the relationship between the domain and range of a function.
Would you rather climb a hill with a slope of 0.5 or a slope of 3? Explain why.
Describe the methods you can use to find the equation of a line. Which one do you like best and why?
Describe a polynomial and a rational function. Include any relevant terms and their application as needed.
Explain how to divide polynomials. Give examples to support your response.
What is the relationship between the graph of a function and the graph of its inverse? Give examples to support your response. (50pts)
Explain the difference between logb(mn) and (logbm)(logbn). Are they equivalent?
Two independent linear equations, each with the same two variables, form a system of equations. How do we define a solution to this system? What form will a solution have, and what properties does a solution possess? Give examples if needed to support your response.

What is a determinant and how is it evaluated? Give examples to support your response.

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