Answer
Local Maximum: N/A
Local Minimum: (-3, -49) (3, -49)
Domain: (-∞, ∞)
Range: [-49, ∞)
See graph below
Work Step by Step
Given: $y = x^4 - 18x^2 + 32$ [-5, 5] by [-100, 100] 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: [-100, 100]
The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points.
Local Maximum: N/A
Local Minimum: (-3, -49) (3, -49)
Domain: (-∞, ∞)
Range: [-49, ∞)