sketch the graph of the given function. Check your sketch using technology. g(x) = 2x- - 6x, domain [-4, 4] (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) *-intercept (x, y) = ( x-intercept (x, y ) = x-intercept (x, y ) = y-intercept (x, y ) = 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) minimum v (x, y) = maximum (x, y) = -1,4 DNE vX (x, v ) = ONE VX (x, v) = ( (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) = (L (d) Indicate the behavior near singular points of f. Oy - +was x - 0 Oy - 0 as x - 14 Dy - to as x - +4 Oy - +was x - +2 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. Oy - twas x - to Oy - -wasx - -m; y - to as x - + Oy - - as x - to Oly - + as x - -w; y - - as x - + O The domain of the function does not extend to infinity