Question

PLS HELP I DONT UNDERSTAND

8.
Consider a function which takes certain values, as shown in the table below.
--
x | -2 | 0 | 3 | 8 |
y | 10 | 6 | 0 | -10 |


Find the average rate of change between x = -2 and x = 0

Answer 1

-2

Explanation:

Formula for Average rate of change :

• A(x) = f(a) - f(b) / a - b

Solving :

• A(x) = f(-2) - f(0) / -2 - 0
• A(x) = 10 - 6 / -2
• A(x) = 4/-2
• A(x) = -2

Answer 2

Explanation:

the average change rate is simply the change of the functional values in a given interval relative to the change of the input values.

in short

(f ( interval upper limit) - f (interval lower limit) ) /

(interval upper limit) - (interval lower limit)

and you know that f (x) is usually also called y (the functional result variable).

so, the upper limit is 0, the lower limit is -2.

y (or f (x)) is 6 and 10 at these points.

and we get

(6 - 10) / (0 - -2) = -4 / 2 = -2