Hold a bar magnet steady near a solenoid that is hooked up to an ammeter (but not a voltage source) and use a compass inside the solenoid to determine the direction of the magnetic field from the bar magnetic. Make a sketch of this setup and draw the field lines from the bar magnet through the solenoid. Indicate the north and south poles of the magnet on your sketch.

Explanation:

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we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .