Draw a graph of each of the functions described below. You are not required to provide...

  

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Draw a graph of each of the functions described below. You are not required to provide an equation for any of the functions. If a function with all the given properties cannot be found, please explain why. Each graph must contain units, and any asymptotes and intercepts must be clearly labeled. (a) A rational function r(x) with exactly one x-intercept, one vertical asymptote, and with the following end behavior: r(x)-2 as x and r(x) 2 as a -00. (b) A one-to-one polynomial function p(x) with 2 x-intercepts. (c) A one-to-one function Q(x) with domain (-0,00), range (5, 6) and at least one horizontal asymptote. Draw a graph of each of the functions described below. You are not required to provide an equation for any of the functions. If a function with all the given properties cannot be found, please explain why. Each graph must contain units, and any asymptotes and intercepts must be clearly labeled. (a) A rational function r(x) with exactly one x-intercept, one vertical asymptote, and with the following end behavior: r(x)-2 as x and r(x) 2 as a -00. (b) A one-to-one polynomial function p(x) with 2 x-intercepts. (c) A one-to-one function Q(x) with domain (-0,00), range (5, 6) and at least one horizontal asymptote.