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Polynomials & Rational Functions

Review question

Can we sketch the graph of $y = (4x-1)/(x+5)$?
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Ref: R6317

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Question

Sketch the graph of \[ y = \frac{4x-1}{x+5}. \] Hence, or otherwise, find the set of values of \(x\) for which \[ -1 < \frac{4x-1}{x+5} < 1. \]
Find the set of values of \(x\) for which \[ 3x^3 + 2x^2 + 6 \ge 19x. \]