SOLUTION: For the following questions answer and explain: describe the end behavior of the given function. 1. h(x) = 3x^9 + 6x^4 + 3x^2 - 22 A. starts down and ends up B. both ends o

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For the following questions answer and explain: describe the end behavior of the given function. 1. h(x) = 3x^9 + 6x^4 + 3x^2 - 22 A. starts down and ends up B. both ends o      Log On


   

Question 1206412: For the following questions answer and explain:

describe the end behavior of the given function.
1. h(x) = 3x^9 + 6x^4 + 3x^2 - 22
A. starts down and ends up
B. both ends open to the left
C. starts up and ends down
D. both ends open up
E. both ends open to the right
F. both ends open down


Answer by greenestamps(13200) About Me  (Show Source):
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ANSWER: A. starts down and ends up

The polynomial is odd degree and has a positive leading coefficient.

For large negative values, the function value is large negative (down to the left; or, in the language of the answer choices, "starts down")

For large positive values, the function value is large positive (up to the right; or, in the language of the answer choices, "ends up")

graph%28400%2C400%2C-2%2C2%2C-1000%2C1000%2C3x%5E9+%2B+6x%5E4+%2B+3x%5E2+-+22%29