For the function

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

For the function f(x)=−3x+1f(x)=\dfrac{-3}{x+1}, consider the following statements: P: lim⁡x→+∞f(x)=0\displaystyle \lim_{x\to +\infty}f(x)=0 Q: The range of ff is R∖{0}\mathbb{R}\setminus\{0\}. R: The point (−2,3)(-2,3) lies on the graph of ff. Which one of the following options is correct? (a) P and Q are true\text{P and Q are true} (b) All P, Q and R are true\text{All P, Q and R are true} (c) P and R are true\text{P and R are true} (d) Q and R are true\text{Q and R are true}

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