Positions of destructive interference on a standing wave are called .?

The answer is; nodes

A standing wave occurs when two waves with the same properties moving in the opposite direction, in the same media, interfere with one another. Nodes are points where the waves interact destructively causing an appearance of the wave standing still.  The opposite of nodes is antinodes where they are points of maximum displacement due to constructive destruction.

heat the gas and measure the pressure

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 .