Answer
Local Maximum: (0,0)
Local Minimum: (2,-4)
Domain: (-∞, ∞)
Range: (-∞, ∞)
See graph below.
Work Step by Step
Given: $y = x^3 - 3x^2$ [-2, 5] by [-10, 10] for viewing window
On desmos, click on the wrench icon in the top right corner
Under x-axis, change the bounds of the x-axis to that stated in the problem: [-2, 5]
Under y-axis change the bounds of the y-axis to that stated in the problem: [-10, 10]
The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points.
Local Maximum: (0,0)
Local Minimum: (2,-4)
Domain: (-∞, ∞)
Range: (-∞, ∞)
