Provide an appropriate response.Suppose that a polynomial function P is defined in such a way that  and P(4) = 6. Can we be certain that there is no zero between -1 and 4? Explain using a graph.

What will be an ideal response?


No, we can't be certain. The intermediate value theorem does not apply in this case. Consider the following graph. (Graphs shown may vary.)

Mathematics

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Use the change-of-base formula and a calculator to evaluate each logarithm.log36 + log810

A. 1.8059 B. 2.7382 C. 1.5162 D. 2.0387

Mathematics

Determine whether f is continuous at c.f(x) = ; c = -2

A. continuous B. not continuous

Mathematics

Identify the probability statement as empirical or not.The probability that a brand-name computer hard drive will crash during its first year of use is 0.10.

A. Empirical B. Not empirical

Mathematics

Find an equation of the line having the specified slope and containing the indicated point. Write your final answer as a linear function in slope-intercept form.m = - ; (7, -2)

A. f(x) = - + 
B. f(x) = - 
C. f(x) = - + 
D. f(x) = - + 4

Mathematics