When I have the problem (x−2)^2, why is the answer not x^2−4 or x^2+4?

We need to square a binomial.

The following rule is applied:

In our example,

    is equal to ,

    is equal to  and

    is equal to .

Step-by-step explanation:

  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).

ok

step-by-step explanation: