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Pls check the attachment :)

f(x)=x^5-9x^3



Pls check the attachment :) f(x)=x^5-9x^3 ​-example-1
User Navap
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1 Answer

11 votes

Answer:

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

Explanation:


y = {x}^(5) - 9 {x}^(3)

An odd-degree function, meaning that the graph starts from negative infinity at x —> negative infinity and positive infinity at x —> positive infinity.

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

An odd-degree function is an one-to-one function so whenever x approaches positive, f(x) will also approach positive.

User Abriggs
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