Markville High School Reciprocal Functions Graphing and Asymptotes Questions

  

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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 𝑓(𝑥) = 2 𝑥 + 4 − 3 is provided.
a) Sketch its reciprocal function. (2 marks)
b) Determine the range of the reciprocal function. (2 marks)
2. Solve for 𝑥:
𝑥< 24 𝑥−2 −8 3. Graph the following rational function and state where applicable: pinholes, asymptotes, intercepts and additional accurate points. 2 𝑓(𝑥) = 𝑥 +𝑥−2 2 (𝑥 +3𝑥+2)(𝑥−2) 2 4. Solve for x: (𝑥 +2𝑥+1)(𝑥−2) 2 (𝑥−3)(4𝑥 +12𝑥+9) ≥0 5. Graph the following rational function and state where applicable: pinholes, asymptotes, intercepts and additional accurate points. 3 𝑓(𝑥) = 6. 2 2𝑥 −𝑥 −5𝑥−2 2 𝑥 −1 A rational function has a horizontal asymptote at y=2, the only vertical asymptote at 𝑥 =− 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