Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes.
f(x) = x * sqrt(49 - x^2)
x-intercept (smallest x-value) (x, y) = ( [ ] )
x-intercept (x, y) = ( [ ] )
x-intercept (largest x-value) (x, y) = ( [ ] )
y-intercept (x, y) = ( [ ] )
relative maximum (x, y) = ( [ ] )
relative minimum (x, y) = ( [ ] )
point of inflection (x, y) = ( [ 0,0 ] )