Question 5

Given and

5.1 Determine 𝑓(-3). (1)

5.2 Determine 𝑥 if 𝑔(𝑥) = 4. (2)

5.3 Write down the asymptotes of 𝑓. (2)

5.4 Write down the range of 𝑔. (1)

5.5 Determine the coordinates of the 𝑥- and 𝑦- intercepts of 𝑓. (5)

5.6 Determine the equation of the axis of symmetry of 𝑓 which has a negative gradient. Leave your answer in the form 𝑦 = 𝑚𝑥 + 𝑐. (2)

5.7 Sketch the graphs of 𝑓 and 𝑔 on the same system of axes. Clearly show ALL intercepts with the axes and any asympotes. (6)

5.8 if it is given that 𝑓(-1) = 𝑔(-1), determine the values of 𝑥 for which (2)

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