Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of extrema, and points of inflection to one decimal place. Check your sketch using technology.2xk(x) = 4 - (x - 1)2/5(a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)x-intercept(x, y) =x-intercept(x, y) =x-intercept(x, y) =y-intercept(x, y) =(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)| ---Select---(x, y) =(x, y) = |---Select---(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)(х, у) %3D(d) Indicate the behavior near singular points of f.y -00 as x →0y- +o as x-1y - 0 as x →0y - +o as x→ -1The function is defined everywhere on the domain.

The given function is: k(x)=2x5-(x-1)25

Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of extrema, and points of inflection to one decimal place. Check your sketch using technology. 2x k(x) = 4- (x - 1)2/5 (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) x-intercept (х, у) 3D x-intercept (x, y) = x-intercept (x, y) = y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) ---Select--- (x, y) = ---Select- (x, y) = ])- (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) = (d) Indicate the behavior near singular points of f. y -0 as x0 O y+ +0 as x +1 O y-0 as x-0 O y+ +0 as x-1 O The function is defined everywhere on the domain.