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 form 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)
[23]