9
QuizMultiple Choice

Linear Piecewise Defined Functions — Quiz

Question 9 • Mathematics II

A piecewise-function is defined as shown. f of x is equal to negative x when x is less than or equal to negative 1; f of x is equal to 1 when x is equal to 0; f of x is equal to x plus 1 when x is greater than or equal to 1 What is the value of f of x when x is equal to 3 ?

Answer
A
1
B
negative 3
C
negative 2
D
4

Explanation

Since 3 is greater than or equal to 1, use the rule f(x) = x + 1. Substituting x = 3 gives f(3) = 3 + 1 = 4, so the correct choice is 4.

AI-written and checked against the verified answer.

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