4.1.1 Write down the equations of the asymptotes of *h*. (2)

4.1.2 Determine the equation of the axis of symmetry of *h* that has a negative gradient. (2)

4.1.3 Sketch the graph of *h, *showing the asymptotes and the intercepts with the axes. (4)

- A is the turning point of
*f*. - The axis of symetry of
*f*intersects the x-axis a E and the line g at D(m ;*n)*. - C is the J-intercept of
*f*and*g*.

4.2.1 Write down the coordinates of A. (2)

4.2.2 Write down the range of *f.* (1)

4.2.3 Calculate the values of *m* and *n*. (3)

4.2.4 Calculate the area of OCDE. (3)

4.2.5 Determine the equation of *g ^{-1} *, the inverse of g, in the formĀ

*y*= … (2)

4.2.6 If * h(x)* = *g *^{-l} *(x) + k *is a tangent to *f, *determine the coordinates of the point of contact between *h *and *f.* (4)

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