if f is a continuous function defined for all real numbers x and if the maximum value of f(x) is 5 and the minimum value of f(x) is -7, then which of the following must be true?
1) the maximum value of f (/x/) is 5
2) the max value of /f(x)/ is 7
3) the min value of f(/x/) is 0

Question

if f is a continuous function defined for all real numbers x and if the maximum value of f(x) is 5 and the minimum value of f(x) is -7, then which of the following must be true?
1) the maximum value of f (/x/) is 5
2) the max value of /f(x)/ is 7
3) the min value of f(/x/) is 0

anonymous · Answer

can someone please help me?

anonymous · Answer

2) the max value of /f(x)/ is 7

anonymous · Answer

how did you find it?

anonymous · Answer

max absolute value of|f(x)|=|-7|=7

anonymous · Answer

oh yes, i see that now. thanks. do you have any other clues for the other ones?

anonymous · Answer

others have no definite answer..

anonymous · Answer

why?

anonymous · Answer

f(|x|) means f(x) for x>0. But you know nothing about where f(x) reaches 5 or -7. So you can't say if it's right or wrong

anonymous · Answer

thank you so very much.