Question

ball thrown up, pauses on ledge, falls. identify the domain and range.
domain all real numbers 0–4 s, range all real numbers 0–10 m
domain is all whole numbers 0–4 s, range is all whole number 0–10 m
domain all real numbers 0–10 m, range all real numbers 0–4 s
domain is all whole numbers 0–10 m, range is all whole numbers 0–4 s

Explanation:

To determine the correct domain and range for the ball's motion:

• Domain represents time (in seconds) the ball is in motion. Time is a continuous quantity (not restricted to whole numbers), so the domain should be real numbers from \( 0 \) to \( 4 \) seconds (since the ball moves for \( 0 - 4 \) seconds).
• Range represents height (in meters) the ball reaches. Height is also continuous, so the range should be real numbers from \( 0 \) to \( 10 \) meters (the ball’s height varies between \( 0 \) and \( 10 \) meters).

The first option matches this: "Domain all real numbers 0–4 s, Range all real numbers 0–10 m".

Answer:

A. Domain all real numbers 0–4 s, Range all real numbers 0–10 m