Question

fwam 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

A function \(h(t)\) is increasing when, as \(t\) increases, \(h(t)\) also increases. On a graph, this corresponds to the part of the curve where the slope is positive.

Step2: Identify the increasing interval

Looking at the given graph of the rocket's height \(h\) versus time \(t\), the curve has a positive slope (height is increasing) from \(t = 0\) to \(t=4\).

Answer:

The interval for which the rocket's height is increasing is \(0 < t < 4\) (or in interval notation \((0,4)\))