is homogeneous of degree 2, and satisfies Euler’s Theorem at

is homogeneous of degree 1, and satisfies Euler’s Theorem at

is homogeneous of degree 1, and satisfies Euler’s Theorem at

is homogeneous of degree 2, and satisfies Euler’s Theorem at

A curve that passes through the origin.

A curve with a vertical tangent somewhere in the interval.

A curve that intersects the x-axis.

A curve with a horizontal tangent somewhere in the interval.

Yes, since is continuous on and differentiable on .

 No, since is not differentiable at .

No, since is not continuous at .

No, since .