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?)
