SOLUTION: 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 relati

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).
RELATED QUESTIONS
I could really use some help with this one: Which of the following are functions?... (answered by venugopalramana)

7. Which of the following are functions? Explain your reasoning for a, b, and c. Keep... (answered by stanbon)

Which of the following are functions? Explain your reasoning for a, b, and c. Keep the... (answered by stanbon)

Can anyone tell me if I'm on the right track with this: Question: Let G = (V, E) be a (answered by richard1234)

In a survey of adults throughout America 75% strongly support integration.You randomly... (answered by edjones)

In a poll conducted by the Pew Research Center in 2003, a national sample of adults... (answered by stanbon)

Which of the following are functions? The last two problems, i.e., b & c, are multi part (answered by solver91311)

Which of the following are functions? The last two problems, i.e., b & c, are multi part (answered by Fombitz)