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Alenkinab [10]
3 years ago
7

Determine f’s end behavior f(x)= -5x^6+8x^5-1/ x^2 -9

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

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Step-by-step explanation:

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4 years ago
What is the product of (a+b) (a-b)
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3 years ago
Corinne solved the equation below:
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The diagram shows Maha's garden.
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Answer:

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