4
QuizMultiple Choice

Linear Piecewise Defined Functions — Quiz

Question 4 • Mathematics II

Which value is in the domain of f of x ? f of x is equal to 2 x plus 5 when negative 6 is less than x is less than or equal to 0; f of x is equal to negative 2 plus 3 when 0 is less than x and x is less than or equal to 4

Answer
A
4
B
5
C
negative 7
D
negative 6

Explanation

The domain is the set of x-values covered by the conditions: −6 < x ≤ 0 or 0 < x ≤ 4. Together, these intervals include every number greater than −6 and up to and including 4. Therefore, 4 is in the domain; −6 is excluded, and 5 and −7 are outside it.

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