Mathematics, 14.05.2021 18:00 keilamurillo5901
Let f be a continuous function on the closed interval [-2,1][−2,1]open bracket, minus, 2, comma, 1, close bracket, where f(-2)=3f(−2)=3f, left parenthesis, minus, 2, right parenthesis, equals, 3 and f(1)=6f(1)=6f, left parenthesis, 1, right parenthesis, equals, 6.
Which of the following is guaranteed by the Intermediate Value Theorem?
Choose 1
Choose 1
(Choice A)
A
f(c)=0f(c)=0f, left parenthesis, c, right parenthesis, equals, 0 for at least one ccc between -2−2minus, 2 and 111
(Choice B)
B
f(c)=0f(c)=0f, left parenthesis, c, right parenthesis, equals, 0 for at least one ccc between 333 and 666
(Choice C)
C
f(c)=4f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 111
(Choice D)
D
f(c)=4f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between 333 and 66
Answers: 3
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