7. As part of his project, a final year student of Music, interviewed some undergraduate students on the type of Music they liked listening to; 30 liked listening to Jazz, 20 liked listening to Reggae while 20 also liked listening to Funk. 10 students liked listening to Jazz and Reggae, 10 liked listening to Jazz and Funk while 9 students liked listening to Reggae and Funk. If 3 students liked listening to all the three types of Music, and 32 did not like listening to any of the three types of Music, find: (i) the number that liked listening to Jazz only; (ii) the number that liked listening to Reggae only;

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the line of

      2

  2 is to go somewhat to the top right of a because it is squared    

v= a h/3