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26 votes
26 votes
which could be a graph of y=ax^4 + bx^3 + cx^2 + dx + e where a,b,c,d and e are real numbers not equal to 0 and a<0?

User Bennett Yeo
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1 Answer

14 votes
14 votes

y=ax^4 + bx^3 + cx^2 + dx + e

Since a< 0 we know that it has to go to - infinity for x going to - infinity and x going to + infinity. That rules out choices B and C.

The maximum number of turning points a polynomial can have is n-1 where n is the degree of the polynomial

(turning points is change of direction)

The graph D has 5 turning points and the degree of the polynomial is 4 so it is not possible

A is your solution.

User Rotem B
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2.8k points