Describe how frequency and period of a wave are related

The frequency and period of a wave have an inverse/opposite relation. This means as one value goes up, the other one goes down.

Explanation:

Frequency means how often a wave occurs.

Period means how long it takes for one wave to occur.

If a wave takes a longer time to occur, then the wave cannot occur faster.

Think of a wave represented by a playground swing set. If you swing higher (high period), you have a greater period. But, you can't swing 'faster' back and forth (low frequency).

If you don't swing as high (low period), you can go back and forth faster (high frequency).

overcharge is the right answer system

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 .