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Suppose f is a function de?ned for all real numbers which has a maximum value of...

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Advance Math

Suppose f is a function de?ned for all real numbers which has amaximum value of 5 and a minimum value of ?7. Label each of thefollowing as MUST, MIGHT, or NEVER true. Explain, and if you saymight, give an example of yes and an example of no.

A The maximum value of f(|x|) is 7.

B The maximum value of f(|x|) is 5.

C The maximum value of f(|x|) is 0.

D The minimum value of f(|x|) is 7.

E The minimum value of f(|x|) is 5.

F The minimum value of f(|x|) is 0.

G The maximum value of |f(x)| is 7.

H The maximum value of |f(x)| is 5.

I The maximum value of |f(x)| is 0.

J The minimum value of |f(x)| is 7.

K The minimum value of |f(x)| is 5.

L The minimum value of |f(x)| is 0.

Now suppose f is a continuous function de?ned for all realnumbers which has a maximum value of 5 and a minimum value of ?7.Which of the answers above stay the same (why?), and which change(to what, and why?)

Answer & Explanation Solved by verified expert
4.4 Ratings (853 Votes)
A NEVERB MIGHTC MIGHTD NEVERE MIGHTF MIGHTG ALWAYSH NEVERI    See Answer
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