Question: Exploration 1.2.7: Inverse ofa Function 8.: Domain and Range Think of a function that squares any number and, if possible, takes the reciprocal of that

Exploration 1.2.7: Inverse ofa Function 8.: Domain and Range Think of

Exploration 1.2.7: Inverse ofa Function 8.: Domain and Range Think of a function that squares any number and, if possible, takes the reciprocal of that number. 1. What is the formula for this function? . What is the domain of this function? Is this function invertible? Why or why not? . Define a subset of the domain where the restriction of this function is actually going to be invertible. Write that smaller domain down, and say what the range of your new graph is. . If this function squares an input and then takes the reciprocal of that, what will the inverse function do? . Write the equation of the inverse function, and record the domain and range as well. . Were there other domain restrictions that you could have tried? How many different domain restrictions can you think of? . Can you think of a function that won't be invertible, no matter how much you restrict the domain

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