Science:Math Exam Resources/Courses/MATH110/December 2012/Question 02 (d)
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Question 02 (d) 

Determine whether the following statement is true or false. If it is true, provide justification. If it is false, provide a counterexample. If is a polynomial, then its graph crosses the axis. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

To get some intuition, think of the most basic polynomials first and see if the property holds. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Polynomials are functions like lines, parabolas, cubics, etc. The best examples to consider are horizontal lines and parabolas.
Either of these would be a counterexample, so the statement is false. 