Given the function f (x) = -×2 + 3x - 2, find the average rate of change from x =-2 to x = 1 and interpret what the average rate of change tells you about the function.

(-5,-28)

i graphed to on desmos.

236 cm 16 time 12 = 192

6 times 7 = 42

192+42

the first is 13 the second is 1 the third is 8 and the fourth is 7

answer: the value of b is 24 + 3t / (4- t ) = b

solution:

step 1 : find the slope using the formula below with the c (t, 3) and d(4, -3)

m = y2-y1 / x2 - x1

m = -3 -3 / 4-t

m = -6/4-t

to find the value of   b use the equation given in the question

note : use any of the pair given c or d in the equation to find the value of b i will be using d ( 4, -3)

y = mx+ b

3 = (-6/4-t)(4) + b don't forget to take the lcm

b = (36 - 3 t ) / ( 4 - t )