1. The problem asks to identify which functions represent exponential growth and which have horizontal asymptotes based on the graph descriptions. 2. Exponential growth functions increase as $x$ increases, typically of the form $y = a^x$ with $a > 1$. 3. Exponential decay functions decrease as $x$ increases, typically of the form $y = a^x$ with $0 < a < 1$. 4. Horizontal asymptotes occur when the function approaches a constant value as $x \to \infty$ or $x \to -\infty$. 5. From the description: - $y = f(x)$ is an orange decreasing curve (exponential decay). - $y = g(x)$ is a blue decreasing curve (exponential decay). - $y = h(x)$ is a green increasing curve (exponential growth). - $y = k(x)$ is a purple increasing curve (exponential growth). 6. Therefore, the functions representing exponential growth are $y = h(x)$ and $y = k(x)$. 7. All exponential functions have horizontal asymptotes, typically $y=0$. 8. Hence, $y = f(x)$, $y = g(x)$, $y = h(x)$, and $y = k(x)$ all have horizontal asymptotes. Final answers: - Exponential growth: $h(x)$ and $k(x)$ - Horizontal asymptotes: $f(x)$, $g(x)$, $h(x)$, $k(x)$