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Mathematics

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miv72 [106K]4 years ago

6 0

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Which phrase represents the algebraic expression StartFraction 3 p + 6 Over 7 p minus 9 End Fraction?

Anarel [89]

Answer:

Step-by-step explanation:

(3p+6)/(7p-9)

4 0

3 years ago

End behavior of polynomials I give 20 points

raketka [301]

The end behavior of a polynomial is determined entirely by the leading term. For example, $2x^4-x+1$ behaves the same way as $2x^4$ when $x$ is very large in magnitude. All the problems in the picture are more or less the same. I'll pick out two examples:

1a) $f(x)=5x^6-3x^3-4x^2+8x$ behaves like $5x^6$ . $x^6$ will be positive regardless of the value of $x$ , so to either the left or right, the graph of $f(x)$ will approach positive infinity or "rise" on both the left and right sides.

1c) $f(x)=-4x(x-4)(x+2)$ has a leading term of $-4x^3$ , so $f(x)$ behaves like $-4x^3$ . When $x$ , we have $x^3$ , so that $-4x^3>0$ . This means $f(x)$ rises to the left. If $x>0$ , then $-4x^3$ , so $f(x)$ falls to the right.