Imagining a balloon with a thermometer inside. now imagine putting on scuba gear and taking said balloon down to the deep end of a pool (say 3-4m deep). what they think will happen to the diameter of the balloon ( ) and what the thermometer will do ( )?

b.

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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 .

i believe the answer is electric potential.

explanation: