What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?

Annabel Zamora

Annabel Zamora

Answered question

2023-03-25

What is the end behavior of the graph of the polynomial function f ( x ) = 3 x 6 + 30 x 5 + 75 x 4 ?

Answer & Explanation

awesomeamber802x

awesomeamber802x

Beginner2023-03-26Added 8 answers

y = f ( x ) = 3 x 4 ( x + 5 ) 2 >=0.
zeros: 0 , 0 , 0 , 0 , - 5 and - 5
x-intercept ( y = 0 ): x = -5.
local turning points for mini/max ( y' = 0 ): 0 0, 0, -10/3 and -5.-,
As x ± , y .
graph{3x^6+30x^5+75x^4 [-9.03, 9.14, -1100,1100]}

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