In which polynomials does P(x) approach negative infinity as x approaches infinity?

Mathematics

1 answer:

german3 years ago

4 0

Answer:

all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x

Step-by-step explanation:

All answers with a negative slope in the highest order polynomial will approach negative infinity as x approaches infinity. This means that all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x

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Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

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