Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.
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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.