The option (A) x → -∞, f(x) → ∞ and x → ∞, f(x) → -∞ if the polynomial function is f(x) = -x⁵ + 9x⁴ - 18x³.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The polynomial function is:
f(x) = -x⁵ + 9x⁴ - 18x³
After plotting the graph of the polynomial function:
From the graph;
x → -∞, f(x) → ∞
x → ∞, f(x) → -∞
Thus, the option (A) x → -∞, f(x) → ∞ and x → ∞, f(x) → -∞ if the polynomial function is f(x) = -x⁵ + 9x⁴ - 18x³.
Learn more about the function here:
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