Question

Uestion 15(Multiple Choice Worth 4 points)

(02.05 MC)

What is the range of f(x) = |x| − 5?

−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞

Answer 1

• B) - 5 ≤ y < ∞

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Given function:

• f(x) = |x| − 5

This is an absolute value function and is the translation of f(x) = |x| down by 5 units.

We know that f(x) = |x| is never negative as per definition of absolute value. So its range is zero or positive numbers:

• 0 ≤ y < ∞

The given function (|x| - 5) can get values 5 less than the parent function (|x|), so its range is:

• - 5 ≤ y < ∞

This is option B.