Answer: At noon the temperature outside of Hector's home was 4 degree warmer than the temperature outside of gale's home.
Step-by-step explanation:
Here, x represents the number of hours after noon while g(x) and f(x) represents the temperature of gale's and hector's home respectively in x hours.
Since, at noon, x = 0
And, by the table g(x=0) = -1
That is, the temperature of gale's home is -1° F at noon.
And, by the given graph, f(x=0) = 3
That is, the the temperature of hector's home is 3° F at noon.
And, f(0)-g(0) = 3-(-1) = 4°F
That is, the difference between the temperature of hector's home at noon and the temperature of gale's home at noon is 4°F.