SOLUTION: 7. Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as di

Question 311435: 7. Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning. Problems b & c are multi part relations so consider all parts when deteriming if they are funcitons.
a. f(x) = x 8
b. f(x) = 45 if x>2 otherwise f(x) = -4
c. f(x) = 4 if x>0 or f(x) = -4 if x<0 or f(x) = 4 or -4 if x = 0

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning. Problems b & c are multi part relations so consider all parts when deteriming if they are funcitons.
a. f(x) = x^8
It is a function
-------------------------
b. f(x) = 45 if x>2 otherwise f(x) = -4
It is a function
-------------------------
c. f(x) = 4 if x>0 or f(x) = -4 if x<0 or f(x) = 4 or -4 if x = 0
No because f(0) has two values, 4 and -4
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Cheers,
Stan H.
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