Answer :
Answer:
The given information describes an exponential function f(x) with specific characteristics:
1. Horizontal Asymptote: The function has a horizontal asymptote at x = 1.
2. Range: The range of the function is (-3, ∞), meaning the function's output values start from -3 and go up to infinity.
3. Decreasing Function: The function is decreasing on its entire domain of (-∞, ∞), which means as x increases, f(x) decreases.
4. End Behavior on the Left: As x approaches -3 from the right side, y (f(x)) approaches infinity. This indicates that the function grows significantly as x gets closer to -3 from the right.
5. End Behavior on the Right: As x approaches -3 from the left side, y (f(x)) approaches negative infinity. This implies that the function decreases drastically as x approaches -3 from the left.
These characteristics together suggest an exponential function that approaches 1 as x goes to infinity, decreases across its entire domain, and exhibits specific end behaviors as x approaches -3 from both sides.
Step-by-step explanation:
