The points $$P=(-2,-3),\quad Q=(1,0),\quad R=(4,5)$$ lie on $y=\mathrm{f}(x)$. Give the correspond

Question

The points $$P=(-2,-3),\quad Q=(1,0),\quad R=(4,5)$$ lie on $y=\mathrm{f}(x)$. Give the corresponding points on $y=|\mathrm{f}(x)|$. Which points remain unchanged? Explain why the transformed graph cannot lie below the $x$-axis.

Accepted Answer

(a) $(-2,3),(1,0),(4,5)$; (b) $Q,R$ unchanged; (c) Outputs are non-negative.

Modulus Function

Modulus Function

Solution:

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