Answered

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What is the end behavior of the graph of the polynomial function f(x)

Sagot :

MrRoyal

Answer:

f(x) approaches infinity as x approaches infinity

Explanation:

Given

[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]

Required

The end behavior of the graph

 We have:

[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]

The above expression implies that:

[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]

The leading coefficient is 3 (3 is positive)

And the degree of the polynomial is 6 (6 is even)

When the leading coefficient is positive and the degree is even;  the end behavior of the function is:

[tex]x \to \infty[/tex]

[tex]f(x) \to \infty[/tex]

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