Question

rocket launches from a platform that is 1 m high. it then hovers at the top before coming back down to the ground. identify the domain and range of the rocket launch. domain: all real numbers 0-3 s, range: all real numbers 0-8 m; domain all real 0-8 m, range all real 0-3 s; domain: integers 0-8 m, range: integers only 0-3 s; domain: integers 0-3s, range: integers 0-8 m

Explanation:

Step1: Understand Domain/Range

Domain: time (s) rocket is in air (0 to 3s, real numbers as time is continuous). Range: height (m) rocket reaches (0 to 8m, real numbers as height is continuous).

Step2: Analyze Options

• Option 1: Domain (0–3s, real) and Range (0–8m, real) matches.
• Option 2: Swaps domain (m) and range (s) – incorrect.
• Option 3: Domain (m, integers) and Range (s, integers) – incorrect (domain is time, range is height).
• Option 4: Domain (s, integers) and Range (m, integers) – incorrect (time/height are continuous, not integers).

Answer:

Domain: all real numbers 0–3 s, Range: all real numbers 0–8 m (the first option)