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Changes in Period and Phase Shift of Sine and Cosine Functions

Question 5 • AZ-Common Core Algebra II B

A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in weight is more than 0.25 ounces, the production is stopped.Which function could represent this situation?

Answer
A
f(x) = |14 + x|
B
f(x) = |14 – x|
C
f(x) = x – 14

Explanation

Let x represent the weight of a box. The discrepancy from the target weight of 14 ounces is the distance between x and 14, written |x − 14|. This is equivalent to |14 − x|, so choice B represents the discrepancy. The other expressions do not measure the absolute difference from 14 ounces.

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