The text discussed an experiment in which rats were exposed to x-rays that were paired with sweet water, a light, and a buzzer. the x-rays made the rats ill and the researchers wanted to know which stimuli would become associated with the illness. the results revealed that the rats avoided the findings from this experiment were used to demonstrate the concept of

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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 .