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babunello [35]
3 years ago
10

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

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

Step-by-step explanation:

Hi there!

First, let´s write the function:

f(x) = (7x⁵ - 3x +1) / (4x³ + 2)

When x ⇒ +∞

f(x) ⇒ (7x⁵ - 3x) / 4x³    because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.

f(x) ⇒7x⁵/4x³ - 3x/4x³

f(x) ⇒ 1.75x² - 0.75/x²    (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:

f(x) ⇒ 1.75x² ⇒ +∞

When x ⇒ -∞

f(x) ⇒ 1.75x² = +∞ (because x² is always positive)

Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

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elena-s [515]
<span>we know that if 95 is out of 100%, we can write it down as 95 = 100%. w</span><span>e also know that x is 20% of the output value, so we can write it down as x = 20%. </span>
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
<span>(95/x)*x=(100/20)*x      
</span>we multiply both sides of the equation by x
<span>95=5*x      
</span>now we divide both sides of the equation by 5 to get x
<span>95/5=x </span>
<span>19=x </span>
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we now know that <span>20% of 95 = 19
let me know if you have any other questions
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il63 [147K]

Answer:

X = 9 months

Step-by-step explanation:

To solve the number of months when the cost of each payment

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