Match each number set with the most accurate definition.

Natural numbers: from 1 upwards

Whole numbers: from 0 upwards

Integers: ...-3, -2, -1, 0, 1, 2, 3, ...

Rational numbers: fractions between two integers

Irrational numbers: can't be written as fraction between two integers

Real numbers: either can or cannot be written as fraction between two integers

These are all definitions, so there really isn't much to explain..They are just names we've given to these sets!

  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).

mental cunning

explanation:

he is often referred to as a man of twists and turns