SOLUTION: Let D (domain)= [1,2] and f be a correpsondence from D to ℝ that assigns the value 1 if x≤3/2 and the value 2 if x ≥ 4/3. Is f a function?

Algebra ->  Functions -> SOLUTION: Let D (domain)= [1,2] and f be a correpsondence from D to ℝ that assigns the value 1 if x≤3/2 and the value 2 if x ≥ 4/3. Is f a function?      Log On


   

Question 990982: Let D (domain)= [1,2] and f be a correpsondence from D to ℝ that assigns the value 1 if x≤3/2 and the value 2 if x ≥ 4/3. Is f a function?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Yes this is a function because any given input is assigned EXACTLY ONE output. With this definition, it is impossible to have a certain input generate more than one output. Notice how the inequalities x≤3/2 and x ≥ 4/3 do not overlap.