Select two of the following choices and place them in the bl

Select two of the following choices and place them in the blanks below so that the resulting statement is true. f(x) = |x|+8 f(x) = x^2 - 4 f(x) = ln x The function is on its domain.

Solution

f(x) = |x| +8

x>0 ; f(x) = x +8

x <0 ; f(x) = -x +8

f(x) is increasing for x (0, infinity) and deceasing (-inf , 0) in its domain

f(x) = x^2 -4

f(x) is increasing for x (0, infinity) and deceasing (-inf , 0) in its domain

f(x) = lnx

Its is always increasing for all x in its doamin