Am I cubic?

Algebra Level 3

We have a polynomial \(f(x)\) which satisfies the following conditions:

\(f(1)=4~,~f(2)=3~,~f(3)=4~,~f(4)=7\)

Can \(f(x)\) be a cubic polynomial?

Note: This problem is original and is inspired by a facebook post.

It can and can't be simultaneously unless I give a proof. It's Schrodinger's \(f(x)\). :P BATMAN! The answer is always batman! What? No Can't say because given info isn't enough. Yes

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Am I cubic?

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100 Day Summer Challenge

Am I cubic?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.