Question

1. projectile martin threw a ball from a height of 4 feet at a speed of 50 feet per second. use the graph that represents the path of the ball to complete the sentence. as x→−∞, f(x)→ a ∞ b −∞ c 1

Explanation:

Step1: Analyze the graph domain

The graph represents the height of the ball over time. Time ($x$ - axis) starts from 0 (when the ball is thrown) and moves forward in the positive - direction in the context of the physical situation. Negative time values ($x\to-\infty$) are not part of the physical domain of this problem as the ball - throwing event starts at $x = 0$. But if we consider the function in a mathematical sense, looking at the shape of the parabolic - like graph, as $x\to-\infty$, the graph is not defined in the physical context of the ball - throwing event. Mathematically, if we assume the function continues in a similar parabolic pattern, as $x\to-\infty$, the height ($y = f(x)$) of the ball would go to $-\infty$.

Answer:

B. $-\infty$