The graph shows the function f(x). which value is closest to the average rate of change from x = 1 to x = 4? a.−3.5 b.−2.3 c. −1.4 d .−0.3

Option B is correct

-2.3

Step-by-step explanation:

Average rate of change(A(x)) for the function f(x) over the interval [a, b] is given by:

          ....[1]

We have to find the  average rate of change from x = 1 to x = 4.

From the graph as shown below

For x = 1

f(1) = 3

and

For x = 4

f(4) = -3.9

Using [1] we have;

Substitute the given values we have;

⇒

Simplify:

Therefore, -2.3  value is closest to the average rate of change from x = 1 to x = 4

-2.3

Step-by-step explanation:

Confirmed correct with a K12 test.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.