|
Question 1687: Which of the following are functions Expalin your reasoning for a,b,c. Keep the definition of a fuction strongly in a mind as you do this problem. Think about whether the relationship between f{x) and x is consistnet with being a function or not and explain your reasonong?
a. f(x) = 2 if x>1
f(x) = -1 otherwise
b. f(x)= 5 if x>0
f(x) = -5 if x <0
f(x) = 5 or -5 if x=0
c. f(x)= 10/x
Answer by khwang(438)   (Show Source):
You can put this solution on YOUR website! a) yes,f is a function from R to R. Since forevery real x,there exists a unique
f(x) corresponding to x.
b) No, since when x =0,f(0) is either 5 or -5(f(0) has no unique value.)
c)No,since x=0 causes the denominator to be zero,there is no value of f(0).
|
|
|
| |
