jayden throws a ball up in the air. the graph below shows the height of the ball h in feet after t seconds…
jayden throws a ball up in the air. the graph below shows the height of the ball h in feet after t seconds. find the interval for which the balls height is increasing.
Answer
Explanation:
Step1: Understand function behavior
The height - time graph is a parabola. The ball's height is increasing when the slope of the graph is positive.
Step2: Identify the increasing interval
Looking at the graph, the ball's height is increasing from (t = 0) seconds to the time when it reaches its maximum height. The maximum height occurs at the vertex of the parabola, which is at (t=1.5) seconds.
Answer:
The interval for which the ball's height is increasing is (0\leq t<1.5) seconds.