3
QuizMultiple Choice

Linear Piecewise Defined Functions — Quiz

Question 3 • Mathematics II

The function f ( x ) is to be graphed on a coordinate plane. f⁡(x)={x+3,x>0−x,x≤0 At what point should a closed circle be drawn?

Answer
A
(3, 0)
B
(1, 0)
C
(0, 0)
D
open paren 0 comma negative 3 close paren

Explanation

The rule for x ≤ 0 includes x = 0, so the graph has a closed circle at the value given by f(x) = −x. Substituting x = 0 gives f(0) = 0, so the closed circle is at (0, 0), choice C.

AI-written and checked against the verified answer.

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