Calculate the average rate of change of the function y= ½x² - 1 over the interval -2 ≤ x ≤ 0

The average rate of change of the function in that interval is r = -1

Step-by-step explanation:

When we have a function f(x), the average rate of change in an interval:

a ≤ x ≤ b

Is calculated as:

In this case, the function is:

y = f(x) = (1/2)*x^2 - 1

And the interval is:

-2 ≤ x ≤ 0

Then the rate of change will be:

The average rate of change of that function in that interval is r = -1

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.