Question

aaron 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 rocket’s height is increasing.

Explanation:

Step1: Analyze the graph

A function \(h(t)\) is increasing when, as \(t\) increases, \(h(t)\) also increases. Looking at the graph of the rocket's height \(h\) versus time \(t\).

Step2: Identify the increasing interval

From \(t = 0\) to \(t=1\), as \(t\) (time) increases from \(0\) to \(1\) seconds, the height \(h\) (in feet) increases from \(h(0)=180\) to \(h(1) = 196\).

Answer:

The rocket's height is increasing on the interval \(0\leq t\leq1\)