2 -2 4 -2 Consider the function graphed here, g (x), restricted to the closed domain [0, 4]. Which ONE of the following statements about the Intermediate Value Theorem is true?

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Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
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Consider the function graphed here, g (x), restricted to the closed domain [0, 4].
Which ONE of the following statements about the Intermediate Value Theorem is true?
The IVT makes no guarantees about this function because it is discontinuous. In fact, some y-values between the start (y=0)
and the end (y=.7) are skipped.
The IVT guarantees that the derivative of the function equals the average rate of change of the function (0.7/4) somewhere
on the domain.
O The IVT guarantees that this function will pass through all intermediate y-values between the start (y=0) and the end (y=.7),
somewhere on its domain.
Transcribed Image Text:2 -2 2 4 Consider the function graphed here, g (x), restricted to the closed domain [0, 4]. Which ONE of the following statements about the Intermediate Value Theorem is true? The IVT makes no guarantees about this function because it is discontinuous. In fact, some y-values between the start (y=0) and the end (y=.7) are skipped. The IVT guarantees that the derivative of the function equals the average rate of change of the function (0.7/4) somewhere on the domain. O The IVT guarantees that this function will pass through all intermediate y-values between the start (y=0) and the end (y=.7), somewhere on its domain.
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