Question

a rocket is launched in the air. 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 is increasing when, as \(t\) (the independent variable) increases, \(h\) (the dependent variable) also increases.

Step2: Identify the increasing interval

Looking at the graph, from \(t = 0\) to \(t=25\), as \(t\) increases, \(h\) increases.

Answer:

The rocket's height is increasing on the interval \((0,25)\)