christopher kicks a football. the graph below shows the height of the football h in meters after t seconds…

Explanation:

Step1: Identify variables and axes.

The horizontal axis represents time $t$ in seconds, and the vertical axis represents height $h$ in meters.

Step2: Locate the increasing portion of the graph.

The height $h$ is increasing when the graph is rising from left to right. Observe the curve starting from $t=0$.

Step3: Identify the turning point.

The graph rises until it reaches its maximum height at the point $(1, 4.9)$. This occurs at time $t=1$ second.

Step4: Determine the time interval for increasing height.

The height increases from the start time $t=0$ until it reaches the maximum height at $t=1$. Therefore, the interval for which the height is increasing is from $t=0$ to $t=1$.

Answer:

The interval for which the football's height is increasing is $[0, 1]$.