This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Exponential function
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Here are the names of the graphs defined by the given equations:
1.1.1. The equation , where , defines an exponential function.
1.1.2. The equation defines a linear function.
1.1.3. The equation defines a quadratic function.
1.1.4. The equation , where , defines a hyperbolic function (or hyperbola).
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.