Answer
Local Maximum: (-1,-25)
Local Minimum: (2,-52)
Domain: (-∞, ∞)
Range: (-∞, ∞)
See graph below.
Work Step by Step
Given: $y = 2x^3 - 3x^2 -12x - 32$ [-5, 5] by [-60, 30] 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: [-5, 5]
Under y-axis change the bounds of the y-axis to that stated in the problem: [-60, 30]
The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points.
Local Maximum: (-1,-25)
Local Minimum: (2,-52)
Domain: (-∞, ∞)
Range: (-∞, ∞)
