FAN AND MEDAL
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A

The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.

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.

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 − x2 − 4x + 4
g(x) = x3 + 2x2 − 9x − 18
g(x) = x3 − 3x2 − 4x + 12
g(x) = x3 + 2x2 − 25x − 50
g(x) = 2x3 + 14x2 − 2x − 14

Question

FAN AND MEDAL 
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A

The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.

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.

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 − x2 − 4x + 4 
g(x) = x3 + 2x2 − 9x − 18 
g(x) = x3 − 3x2 − 4x + 12 
g(x) = x3 + 2x2 − 25x − 50 
g(x) = 2x3 + 14x2 − 2x − 14

aleah54 · Answer

@SnuggieLad @sleepyjess @YoungStudier @likeabossssssss @ScarlettFarra2000 @pooja195 @Photon336

scarlettfarra2000 · Answer

@Atrineas can you help please?

atrineas · Answer

Well graphing all of these function I keep getting 4 intercepts 
In the file is the first function

atrineas · Answer

so as long as the y-intercept isn't 0 there will always be 4 intercepts

atrineas · Answer

Dunno how to explain the answer though sorry >~<

aleah54 · Answer

its okay thank you so much for trying :)

atrineas · Answer

Np @Aleah54 ^-^

aleah54 · Answer

@agent0smith @RyanR504 @AliMaeHemmings @favecouplechanger23