SOLUTION: 1. Which of the following are functions? Explain your reasoning for a, b, and c. a. f(x) = 2 if x>1 otherwise f(x) = -1 b. f(x) = 5 if x>0 or f(x) = -5 if x<0 or f(x

Question 141525: 1. Which of the following are functions? Explain your reasoning for a, b, and c.
a. f(x) = 2 if x>1 otherwise f(x) = -1
b. f(x) = 5 if x>0 or f(x) = -5 if x<0 or f(x) = 5 or -5 if x = 0
c. f(x) = x/10

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If any value of x results in two or more values for f(x), then f is NOT a function.

Graphically, that means that if you can find a vertical line that intersects the graph of the relation in two or more points, the relation is not a function.

It doesn't matter if more than one value of x results in the same value for f(x) -- the relation is still a function

In sum, if each x maps to exactly one value of f(x), even if more than one x maps to a given f(x), you have a function. If any x maps to more than one value of f(x), you don't have a function.
RELATED QUESTIONS
Which of the following are functions? The last two problems, i.e., b & c, are multi part (answered by Fombitz)

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

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

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

Which of the following are functions Expalin your reasoning for a,b,c. Keep the... (answered by khwang)

Which of the following are functions? The last two problems are multi part relations... (answered by stanbon)

This is probably so basic but it's been a VERY long time and it just doesn't make sense... (answered by gonzo)

Which of the following are functions? Why? a. f(x)=2 if x>1 otherwise f(x)=-1 b.... (answered by oscargut)

Please explain functions, relations and arguments. I need guidance to answer the... (answered by stanbon)