Question

question 8 of 41 submit test 50 0 0 2 4 time (yr) 6 8 10 12 which of the following statements describes the domain of this function? it is the set of all real numbers from 0 to 10. it is the set of all real numbers ≥ 0. it is the set of all integers from 0 to 10. it is the set of all integers ≥ 0. mscs district benchmark 2 - algebra i performance matters

Explanation:

The domain of a function represents the set of all possible input values (here, time in years). From the graph, the time axis (x - axis) has segments starting at 0 and another at 10, but looking at the domain (all input values), we see the relevant time values are from 0 to 10 (since the first segment is from 0, and the second starts at 10, but the domain here is the set of all real numbers (as time can be a continuous quantity) from 0 to 10. Let's analyze the options:

• Option 1: "It is the set of all real numbers from 0 to 10." - Time is a continuous variable (can be any real number like 0.5, 1.2 etc. between 0 and 10), so this fits.
• Option 2: "It is the set of all real numbers ≥ 0." - The graph doesn't show time beyond 10 in the relevant segments for the domain here, so this is incorrect.
• Option 3: "It is the set of all integers from 0 to 10." - Time isn't restricted to integers (e.g., 1.5 years is valid), so incorrect.
• Option 4: "It is the set of all integers ≥ 0." - Again, time isn't just integers and not all non - negative integers, incorrect.

Answer:

A. It is the set of all real numbers from 0 to 10.