Question

yaritza launches a toy rocket from a platform. the graph below shows the height of the rocket h in feet after t seconds. find the interval for which the rockets height is increasing.

Explanation:

Step1: Analyze the graph's trend

A function is increasing when, as the input (in this case \(t\)) increases, the output (\(h\)) also increases. Looking at the graph of \(h(t)\) (height vs. time), we observe the behavior of the curve.

Step2: Identify the interval

From \(t = 0\) to \(t=2\), as \(t\) (time) increases, the value of \(h\) (height) of the rocket is going up. After \(t = 2\), as \(t\) increases, \(h\) starts to decrease.

Answer:

The interval for which the rocket's height is increasing is \(0