x = (y - 5)^(1/3)
]
(b) Find the domain and range of f.
[
Domain: All real numbers
Range: All real numbers
]
(c) Find the x-intercepts and y-intercept of f.
[
x-intercepts: None
y-intercept: (0, 5)
]
(d) Determine the symmetry of the graph of f.
[
The graph of f is not symmetric with respect to the x-axis, y-axis, or origin.
]
(e) Find the intervals where f is increasing and decreasing.
[
Increasing: All real numbers
Decreasing: None
]
(f) Find the local maximum and minimum points of f.
[
Local maximum: None
Local minimum: None
]
(g) Sketch the graph of f.
[
The graph of f is a curve that starts at the point (0, 5) and continues upward indefinitely.
]