Question

for the polynomial f(x)=-2x³-2x²+7x-25

as x→∞,f(x)→∞

a. true
b. false

Answer 1

\( \lim \limits_{x \to \infty} (-2 x^3 - 2 x^2 + 7 x - 25) = -\infty \)

Answer 2

False. As x approaches infinity, \[-2x^{3}-2x^{2}\] will approach -infinity more rapidly than 7x approaches infinity, so \[f(x)\rightarrow \infty\]
Basically, what FoolForMath said :P

Answer 3

\[f(x)\rightarrow-\infty\] of course.