Write the absolute value function y43 - 2 + 11 as a piecewise function.

Question

asked Aug 11, 2023 207k views

1 Answer

KahWee Teng · Answer 1 · 2023-08-17T07:02:05+0000

We have the following function given:

$y=4\left|x-2\right|+11$

By definition we have:

$\left|x\right|=x,x\ge0$
$\left|x\right|=-x,x<0$

And we want to rewrite the expression in a piecewise function so we can do this:

And the solution would be:

$y=4x+3,x\ge2$