1. Let's start with the first problem: \(y = 5^x\). 2. This is an exponential function where the base is 5 and the exponent is \(x\). 3. The general form of an exponential function is \(y = a^x\), where \(a > 0\) and \(a \neq 1\). 4. Here, \(a = 5\), so the function grows exponentially as \(x\) increases. 5. There is no simplification or rewriting needed for this function. 6. The function passes through the point \((0,1)\) because any number to the zero power is 1. 7. The function increases rapidly because the base 5 is greater than 1. Final answer: \(y = 5^x\) is an exponential growth function with base 5.