Answer
Local Maximum: (0, 6)
Local Minimum: (1.26, 1.238)
Domain: (-∞, ∞)
Range: (-∞, ∞)
See graph below
Work Step by Step
Given: $y = x^5 - 5x^2 + 6$ [-3, 3] by [-5, 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: [-3, 3]
Under y-axis change the bounds of the y-axis to that stated in the problem: [-5, 10]
The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points.
Local Maximum: (0, 6)
Local Minimum: (1.26, 1.238)
Domain: (-∞, ∞)
Range: (-∞, ∞)