Can someone let me know if these are right?

4)

44 - you have two 44: natural numbers and integers; it is true, but in this case correct one is natural numbers
7/3 - rational numbers
√144 = 12 - natural numbers
-88 - integers
12/2 = 6 - natural numbers
5.4 - rational numbers
√24 - irrational numbers

6)

80/1 = 80 - natural numbers
√72 - irrational numbers
45/6 - rational numbers
√50 - irrational numbers
0/94 = 0 - whole numbers
√49 = 7 - natural numbers

7)

√4 = 2 - natural numbers
-7 - integers
2/9 - rational numbers
√97 - irrational numbers
3 - natural numbers
36/9 = 4 - natural numbers
√30 - irrational numbers
π - irrational numbers

8)

1 - natural numbers
7/45 - rational numbers
√37 - irrational numbers
3/19 - rational numbers
√23 - irrational numbers
√16 = 4 - natural numbers

9)

-9/1 = -9 - integers
-88 - integers
9.2 - rational numbers
26 - natural numbers
√71 - irrational numbers
-67 - integers
2/8 - rational numbers
√10 - irrational numbers

5) First part (perfect square) is true, but only for a square root. You could have cube root or even n-th root and in this case it won't work. For the second part when a number forever repeats it is a fraction, so it is a rational number. Irrational numbers are infinite, but they never repeat.

  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.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

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

the table tells us

g(-2) = 1g(1) = 31

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).