Answer
Local Maximum: (-1, 5)
Local Minimum: (1, 1)
Domain: (-∞, ∞)
Range: (-∞, ∞)
See graph below.
Work Step by Step
Given: $y = 3x^5 - 5x^3 + 3$ [-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: (-1, 5)
Local Minimum: (1, 1)
Domain: (-∞, ∞)
Range: (-∞, ∞)
