1. The problem asks to identify which of the given functions is an exponential function. 2. The two functions given are: - $y = 8x - \frac{1}{3}$ - $y = 8^x$ 3. Recall the definition of an exponential function: it is a function where the variable is in the exponent, typically of the form $y = a^x$ where $a$ is a positive constant not equal to 1. 4. Analyze the first function $y = 8x - \frac{1}{3}$: - Here, $x$ is multiplied by 8, and then $\frac{1}{3}$ is subtracted. - This is a linear function, not exponential, because the variable $x$ is not in the exponent. 5. Analyze the second function $y = 8^x$: - Here, the variable $x$ is the exponent of the base 8. - This matches the form of an exponential function. 6. Therefore, the function $y = 8^x$ is the exponential function. Final answer: $y = 8^x$ is the exponential function.