SOLUTION: Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions

Question 198061: Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
a. f(x) = x + 5
b. f(x) = 3 if x>2 otherwise f(x) = -2
c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The mathematical concept of a function expresses dependence between two quantities, one of which is known and the other which is produced. A function associates a single output to each input element drawn from a fixed set, such as the real numbers (

), although different inputs may have the same output.

a. Function. No value of x will result in more than one value for f(x)

b. Function. Same reason.

c. Not a function. If x = 0, then f(x) is 7 or -7, violating the restriction of a single output for each input element.

John

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