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Kamila [148]
3 years ago
13

Determine the end behavior of each rational function below. f(x) = 7x3 + 2 / 4x5 − 3x + 1

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ 0 from the positive region.

Step-by-step explanation:

Hi there!

Let´s write the function:

f(x) = (7x³ + 2) / (4x⁵ - 3x + 1)

When x ⇒ +∞ we can neglect the constant values (2 and 1). So:

f(x) ⇒ 7x³ /(4x⁵ - 3x)

f(x) ⇒ 7x³ / x(4x⁴ - 3)

f(x) ⇒ 7x² / 4x⁴

f(x) ⇒ 7/4x² ⇒ 0 from the positive region

when x ⇒ -∞

f(x) ⇒ 7/ 4x² ⇒ 0 from the positive region because x² is always positive.

Then when x is a very big number (positive or negative), f(x) will be approximately 0 and positive.

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Answer:

x = 2

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Step-by-step explanation:

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(10 + x)/10 = 18/15

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Or

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5 0
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Answer:

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Step-by-step explanation:

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2 years ago
Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if
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Answer:  662.50 dollars

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Explanation:

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7 0
3 years ago
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