5
QuizMultiple Choice

Step Functions — Quiz

Question 5 • Algebra I

A clothing store uses the step function f of x to recommend jeans sizes as a function of x , a child’s height in inches. f of x is equal to 1 when 40 is less than or equal to x comma x is less than 42; f of x is equal to 2 when 42 is less than or equal to x comma x is less than 44; f of x is equal to 3 when 44 is less than or equal to x comma x is less than 46; f of x is equal to 4 when 46 is less than or equal to x comma x is less than 48 According to the function, which is the height of a child who should wear size two jeans?

Answer
A
41 point 9 inches
B
44 point 1 inches
C
42 inches
D
44 inches

Explanation

Size 2 is recommended when the child’s height x is at least 42 inches but less than 44 inches. A height of 42 inches is included in that interval, while 44 inches is not, so the correct choice is “42 inches.”

AI-written and checked against the verified answer.

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