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Mathematics, 06.05.2020 00:34 robertbyrd2017

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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.

2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x3 βˆ’ x2 βˆ’ 4x + 4
g(x) = x3 + 2x2 βˆ’ 9x βˆ’ 18
g(x) = x3 βˆ’ 3x2 βˆ’ 4x + 12
g(x) = x3 + 2x2 βˆ’ 25x βˆ’ 50
g(x) = 2x3 + 14x2 βˆ’ 2x βˆ’ 14

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