Consider f and g be two functions defined by f(x) = (1/8)x^2 -3 and g(x) ={ 7 - (1/2) x^2, if x>0 ={(7/4)x+1, if x< or equal to 0
i) Determine coordinates of points of intercection of the graphs algebraically. Illustrate steps to support answer.
ii) Write equation of tangent to graph f(x) at its relative minimum point.