1. **State the problem:** We need to determine whether each given exponential function represents exponential growth or exponential decay. 2. **Recall the rule:** For an exponential function of the form $y = a b^x$ where $a > 0$ and $b > 0$: - If $b > 1$, the function represents **exponential growth**. - If $0 < b < 1$, the function represents **exponential decay**. 3. **Analyze each function:** - $y = \frac{1}{3} (1.26)^x$: - Base is $1.26 > 1$, so this is **growth**. - $y = 2 \left(\frac{1}{3}\right)^x$: - Base is $\frac{1}{3} \approx 0.333 < 1$, so this is **decay**. - $y = 8 e^x$: - Base is $e \approx 2.718 > 1$, so this is **growth**. - $y = \left(\frac{5}{2}\right)^x$: - Base is $\frac{5}{2} = 2.5 > 1$, so this is **growth**. 4. **Final classification:** - Growth: $y = \frac{1}{3} (1.26)^x$, $y = 8 e^x$, $y = \left(\frac{5}{2}\right)^x$ - Decay: $y = 2 \left(\frac{1}{3}\right)^x$