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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.
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