The graph of a differentiable function satisfies ,

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The graph of a differentiable function hh satisfies lim⁡x→∞h(x)=4\displaystyle \lim_{x\to\infty} h(x)=4, lim⁡x→−∞h(x)=4\displaystyle \lim_{x\to -\infty} h(x)=4, and lim⁡x→−1h(x)=∞\displaystyle \lim_{x\to -1} h(x)=\infty. Identify the equations of every horizontal and vertical asymptote of the graph of hh.

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