ANSWER :
a.
f(x) = - 7x - 3 , a = 2 and b = 3
=> f(2) = - 7 (2) - 3 = - 14 - 3 = - 17
=> f(3) = - 7 (3) - 3 = - 21 - 3 = - 24
=> ( f(b) - f(a)) = - 24 - (- 17) = - 24 + 17 = - 7
b - a = 3 - 2 = 1
So,
[f(b) - f(a)] / (b - a) = - 7 / 1 = - 7 (ANSWER)
b.
f(x) = x^2 - 2 x + 1 , a = - 1 and b = 0
=> f(0) = 0 - 0 + 1 = 1
=> f(1) = (- 1)^2 - 2 (- 1) + 1 = 1 + 2 + 1 = 4
=> ( f(b) - f(a)) = f(0) - f(1) = 1 - 4 = - 3
b - a = 0 - (- 1) = 0 + 1 = 0
So,
[f(b) - f(a)] / (b - a) = - 3 / 1 = - 3 (ANSWER)
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