which functions have a horizontal asymptote?\n√ y = f(x)\n√ y = h(x)\n√ y = g(x)\n√ y = k(x)\ncomplete\nwhich…

which functions have a horizontal asymptote?\n√ y = f(x)\n√ y = h(x)\n√ y = g(x)\n√ y = k(x)\ncomplete\nwhich shows the domain and range of these functions?\n□ domain: (-∞,∞) range: (-∞,∞)\n□ domain: (0,∞) range: (-∞,∞)\n□ domain: (-∞,∞) range: (0,∞)

which functions have a horizontal asymptote?\n√ y = f(x)\n√ y = h(x)\n√ y = g(x)\n√ y = k(x)\ncomplete\nwhich shows the domain and range of these functions?\n□ domain: (-∞,∞) range: (-∞,∞)\n□ domain: (0,∞) range: (-∞,∞)\n□ domain: (-∞,∞) range: (0,∞)

Answer

Explanation:

Step1: Analyze domain of exponential - like functions

Exponential - type functions (which seem to be the case here as they have horizontal asymptotes) are defined for all real numbers. So the domain is $(-\infty,\infty)$.

Step2: Analyze range of exponential - like functions

Since the functions have horizontal asymptotes at $y = 0$ and are above this asymptote (from the graph's general shape), the range is $(0,\infty)$.

Answer:

Domain: $(-\infty,\infty)$ Range: $(0,\infty)$