Piecewise Functions Domain

Question

Find the domain of the function. Enter your answer in interval notation.

 

f(x) = { x+3 if x<-1, -2x if |x| is less than or equal to 1, -2 if x>1

 

Help!?

Answer 1

f(x) = x + 3, x < -1

 

 f(x) = -2x, |x| ≤ 1

 f(x) = -2x, -1≤x≤1

 

f(x) = -2, x>1

 

The domain the possible input values of x.

Your domain is

(∝, -1) U [-1, 1] U (1, ∝) = (-∞, ∞)

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