Sketch the graph and state the domain and range.
Since must be nonnegative: . (domain)
The minimum value of occurs when
Hence, the range is: .
We have: .
Square the equation: .
We have a parabola with vertex which opens to the right:
And we want only the upper half.
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Graph and identity all intercepts.
If . . . y-intercept:
If . . . x-intercepts:
This is a cubic graph which rises to the right.
Since has an even exponent,
. . the graph is tangent to the x-axis at
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