Question 7

Given the following two functions:

7.1 Determine the 𝑥-intercept of h.(3)

7.2 Sketch neat graphs of h and g on the same set of axes. Clearly show all intercepts
with the axes as well as asymptotes. (5)

7.3 Write down the equation of the vertical asymptote of h.(1)

7.4 Determine the coordinates of the points of intersection of h and g. Show all calculations.(5)

7.5 Write down the equation of f if f s the reflection of g about the line y = 4.(2)

7.6 Write down the equation if h is translated so that ( -2; 3) is the new point of intersection of the asymptotes.(2)


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