How do you evaluate the function f(x)=absx+10 for f(-4)?

Aug 4, 2017

$f \left(- 4\right) = 14$

Explanation:

$\text{substitute x = - 4 into f(x)}$

$\text{note "|4|=4" and } | - 4 | = 4$

$\Rightarrow f \left(\textcolor{red}{- 4}\right) = | \textcolor{red}{- 4} | + 10$

$\textcolor{w h i t e}{\Rightarrow f \left(- 4\right)} = 4 + 10$

$\textcolor{w h i t e}{\Rightarrow f \left(- 4\right)} = 14$