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Please check the pdf file to see the questions 1-5. these include graphing, solving and sketching reciprocal functions. let me know if you need a new copy

1. The graph of Ã°Ââ€˜â€œ(Ã°Ââ€˜Â¥) = 2 Ã°Ââ€˜Â¥ + 4 Ã¢Ë†â€™ 3 is provided.
a) Sketch its reciprocal function. (2 marks)
b) Determine the range of the reciprocal function. (2 marks)
2. Solve for Ã°Ââ€˜Â¥:
Ã°Ââ€˜Â¥< 24 Ã°Ââ€˜Â¥Ã¢Ë†â€™2 Ã¢Ë†â€™8 3. Graph the following rational function and state where applicable: pinholes, asymptotes, intercepts and additional accurate points. 2 Ã°Ââ€˜â€œ(Ã°Ââ€˜Â¥) = Ã°Ââ€˜Â¥ +Ã°Ââ€˜Â¥Ã¢Ë†â€™2 2 (Ã°Ââ€˜Â¥ +3Ã°Ââ€˜Â¥+2)(Ã°Ââ€˜Â¥Ã¢Ë†â€™2) 2 4. Solve for x: (Ã°Ââ€˜Â¥ +2Ã°Ââ€˜Â¥+1)(Ã°Ââ€˜Â¥Ã¢Ë†â€™2) 2 (Ã°Ââ€˜Â¥Ã¢Ë†â€™3)(4Ã°Ââ€˜Â¥ +12Ã°Ââ€˜Â¥+9) Ã¢â€°Â¥0 5. Graph the following rational function and state where applicable: pinholes, asymptotes, intercepts and additional accurate points. 3 Ã°Ââ€˜â€œ(Ã°Ââ€˜Â¥) = 6. 2 2Ã°Ââ€˜Â¥ Ã¢Ë†â€™Ã°Ââ€˜Â¥ Ã¢Ë†â€™5Ã°Ââ€˜Â¥Ã¢Ë†â€™2 2 Ã°Ââ€˜Â¥ Ã¢Ë†â€™1 A rational function has a horizontal asymptote at y=2, the only vertical asymptote at Ã°Ââ€˜Â¥ =Ã¢Ë†â€™ 3, and a pinhole at 2. Based on this information, explain and justify whether or not this rational function will have any x-intercepts. Purchase answer to see full attachment

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