Find the relative extrema of the function, if they exist.f(x) =

A. Relative minimum at (1, 0)
B. No relative extrema exist
C. Relative minimum at (-1, 0)
D. Relative maximum at (1, 0)

Answer: B

Mathematics

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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.During one flu epidemic the proportion of adults nationwide who have come down with the flu is 8%. The manufacturer of a flu vaccine claims that those who have been vaccinated are less likely to catch the flu. The hypotheses are as follows:Null hypothesis: proportion of those vaccinated catching the flu = 8%Alternative hypothesis: proportion of those vaccinated catching the flu < 8%

A. Rejecting the null hypothesis means there is insufficient evidence that the proportion of those vaccinated catching the flu is equal to 8% Accepting the null hypothesis means there is evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%. B. Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is less than 8% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of those vaccinated catching the flu is less than 8%. C. Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is less than 8% Accepting the null hypothesis means there is evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%. D. Rejecting the null hypothesis means there is evidence that the proportion of those vaccinated catching the flu is not equal to 8% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of those vaccinated catching the flu is equal to 8%.

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Mathematics