heyitsmelly heyitsmelly
  • 20-07-2021
  • Mathematics
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Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.

Consider the function ƒx x4 9 Determine which of the following is its graph based on end behavior class=
Consider the function ƒx x4 9 Determine which of the following is its graph based on end behavior class=
Consider the function ƒx x4 9 Determine which of the following is its graph based on end behavior class=
Consider the function ƒx x4 9 Determine which of the following is its graph based on end behavior class=

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eudora eudora
  • 25-07-2021

Answer:

Step-by-step explanation:

If the degree of the polynomial is even (positive) ends of the function will either upwards or downwards on axis.

If the coefficient of the leading term of a polynomial is negative, both the ends of the graph will move downwards.

The given function is,

f(x) = -x⁴ + 9

Degree of the polynomial = 4

Coefficient of the leading term = -1

Therefore, ends of the polynomial will open downwards.

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