Video: Finding Maximum Values of Absolute Value Functions

What is the maximum value of the function 𝑦 = 5 − |2 − 𝑥|?

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Video Transcript

What is the maximum value of the function 𝑦 equals five minus the absolute value of two minus 𝑥?

Let’s consider what’s happening in this function. We have this positive whole number five. We’re going to be subtracting something from five. And because we’re dealing with the absolute value, we’ll only be subtracting positive values from five. We’ll never be adding anything to the five, only subtracting. And that makes five the maximum value of this function.

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