Which of these is an exponential function? \( y=6^{x} \quad y=\frac{x}{19} \)
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Exponential functions are characterized by the variable being in the exponent, and in this case, \( y=6^{x} \) is the one that fits the bill! The base, which is 6, is raised to the power of \( x \), making it a classic exponential function that grows rapidly as \( x \) increases. On the other hand, \( y=\frac{x}{19} \) is a linear function. It simply represents a straight line where \( y \) changes at a constant rate as \( x \) changes, which doesn't involve any exponentiation. So, keep your eyes peeled for those “x in the sky” scenarios to spot an exponential function!