The graph of a quadratic function f is given. f(x) = 3x2 6x 2 The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at approximately x = 0.3, crosses the y-axis at y = 2, changes direction at the point (1, 5), goes up and right becoming more steep, crosses the x-axis at approximately x = 2.3, and exits the window in the first quadrant. (a) Find the coordinates of the vertex and the x- and y-intercepts. (Round your answers to one decimal place.) vertex (x, y) = x-intercept (smaller x-value) (x, y) = x-intercept (larger x-value) (x, y) = y-intercept (x, y) = (b) Find the maximum or minimum value of f. The ---Select--- value of f is f(x) = . (c) Find the domain and range of f. (Enter your answers using interval notation.) domain range