تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
1. (4 pts) Which one of the following functions satisfies the hypotheses of Rolle's Theorem on their
respective intervals? Select all that apply.
(A) f(x) = cos(x) on [0,2]
(B) g(x) = |x2| on [0,4]
1
(C) h(x) =
=
on [−1,1]
x2
(D) k(x) = | sin(x)| on [0,2]
2. (2 pts) Suppose a function f is differentiable on (-∞, ∞0) and the following is true:
f'(x) 4 for all x
• f(1) = 2
Which of the following must be false?
(A) f(5) =
=-3
(B) f(5) = 0
(C) f(5) = 18
(D) f(5) = 25
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