Answer
Local Maximum: (-2,25)
Local Minimum: (2,-7)
Domain: (-∞, ∞)
Range: (-∞, ∞)
See graph below
Work Step by Step
Given: $y = x^3 - 12x + 9$ [-5, 5] by [-30, 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: [-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: (-2,25)
Local Minimum: (2,-7)
Domain: (-∞, ∞)
Range: (-∞, ∞)
