Expressions, equations, functions, and graphing

What are the differences among expressions, equations, and functions? Provide examples of each.

If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will that always be true for that situation?

Solution Summary

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Dali Zangurashvili, PhD

Rating 5.0/5

Active since 2011

MA, Tbilisi State University, Soviet Union
PhD, Tbilisi State University, Georgia
Post-doctoral fellowship, University of Coimbra, Portugal

Responses 82

Comments on Dali's work:

"Thankyou for your excellent and well presented solution to this problem"

"Thank you!"

"Do you think you can check the calculations a little? I think the answer is supposed to be (1/4)(q^4-q^2). Thank you."

"The teacher just added a few corrections for two problems. For this problem with the polynomial that splits he said that "p" must be considered a prime. Also for the Main Theorem problem he said: show that the main theorem is satisfied for the extension K/F even though F is not of characteristic zero. Would these two changes significantly alter the result?"

"For part c) I don?t think we can just say that the main theorem holds because this is exactly what part c) asks to be shown. Although we were given the proof of the main theorem, I think this theorem has to be shown for this particular case. For part b) is it not possible to determine the groups that G(L/F) and G(K/F) are isomorphic to? Thanks."