Given the function g(x) = x2 – 10x + 19, determine the average rate of change of the function over the interval 3 < x < 6.

Answers

the answer is d on edge

step-by-step explanation:

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

The average rate of change for g(x) on the interval 3 ≤ x ≤ 6 is -1.

Step-by-step explanation:

We want to find the average rate of change of the function:

g(x)=x^2-10x+19

Over the interval:

3\leq x\leq 6

The average rate of change is essentially the average slope of the function. So, we want to find the slope between g(3) and g(6).

Evaluate both points:

g(3)=(3)^2-10(3)+19=-2

g(6)=(6)^2-10(6)+19=-5

Thus, we obtain the two points (3, -2) and (6, -5).

The slope between them is:

\displaystyle m=\frac{(-5)-(-2)}{(6)-(3)}=\frac{-3}{3}=-1

Therefore, the average rate of change for g(x) on the interval 3 ≤ x ≤ 6 is -1.

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