Question 6

6.1 Sketch the graphs of 𝑓 and 𝑔 on the same set of axes, using the provided diagram sheet. Clearly indicate all intercept points with the x-axis and the y-axis as well as any asymptotes. (6)

6.2 Using your graph, write down the coordinates of the point of intersection of 𝑓 and 𝑔 (where 𝑥 > 0). (2)

6.3 What is the range of f? (1)

6.4 Write down the domain of 𝑔. (2)

6.5 Write down the equation of the asymptotes of 𝑔. (2)

6.6 Determine the values of 𝑥 where 𝑔(𝑥) ≤ 0 where 𝑥 < −2 (2)

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