Analyze and sketch a graph of the function $y = 2 - 3 x - x ^ { 3 }$

Question

Quizplus · Accepted Answer

The function is a cubic function with a negative leading coefficient (-1). As x approaches positive or negative infinity, the function approaches negative infinity. The function has a local maximum at approximately (-0.7, 3.8) and a local minimum at approximately (1.2, -2.8). The y-intercept is (0, 2) and the x-intercepts are approximately (-1.5, 0) and (1, 0).

Analyze and Sketch a Graph of the Function y=2−3x−x3y = 2 - 3 x - x ^ { 3 }y=2−3x−x3

Analyze and Sketch a Graph of the Function $y = 2 - 3 x - x ^ { 3 }$