Question

faiza threw a ball in the air. it traveled for 11 seconds, reaching a height of 30 feet before falling to the ground. the function $f(t)$ represents the height of the ball $t$ seconds after faiza threw it. what is the domain of $t$? \
$0 \leq t \leq 30$ $0 \leq t \leq 11$ $5 \leq t \leq 30$ $-11 \leq t \leq 11$

Explanation:

Step1: Define domain context

The domain of $t$ is valid time values for the ball's flight.

Step2: Identify start time

The ball is thrown at $t=0$, so $t$ starts at 0.

Step3: Identify end time

The ball lands after 11 seconds, so $t$ ends at 11.

Step4: Formulate domain

Combine start and end time to get the range of $t$.
$0 \leq t \leq 11$

Answer:

$0 \leq t \leq 11$ (Option: $0 \leq t \leq 11$)