Question

Help! Algebra!!!

Answer 1

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.

Answer 2

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Answer 3

Kelsey is correct in the fact there can only be 3 zeros. A function can only have as many zeros as it is degrees. (For example, if you have a function to the 5th degree, there can only be 5 zeros, or solutions.)

For Ray's statement, you have to consider that intercepts include anytime a function crosses either of the axes, y or x.

What do you think the answer is now? Let me know if you have any questions!