As it is not given a is positive real number or negative real number.
By supposing a is any real number, we will draw the graph of the curve 
 by taking different values of x.
 by taking different values of x.
As i have taken different values of a , 
I found that for a< 0, the graph of the curve  does not exist.
  does not exist.
For any other value of a, the curve cuts the x axis at one point.
For values of 1<a<0, the curve will cut negative side of X axis. 
For value of a, a≥1, the curve will cut positive side of X axis.
For , a=0, the curve will not cut the x axis. 
So, The function , f(x)= will cuts the x axis at one point for a >0 and for negative values of a, and for a< 0 ,it will not cut the x axis.
 will cuts the x axis at one point for a >0 and for negative values of a, and for a< 0 ,it will not cut the x axis.