7. If f is a differentiable function and f(0) = -1 and f(4) = 3, then which of the following must be true? I. There exists a c in (0,4] where f(c) = 0.
II. There exists a c in (0,4] where f'(c) = 0.
III. There exists a c in (0,4] where f'(c) = 1.
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III

d is correct

step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

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