Practice section 5 of 9

On separate diagrams, sketch $y=(-2x+a)/(x+a)$ and $y=|(-2x+a)/(x+a)|$, where $a>0$.

Given $f(x)=x+4$, sketch $y=|f(x)|$.

Use a graphing calculator to sketch (1) $y=\ln(x+2)$ and (2) $y=\ln(|x|+2)$. Copy the curves. What do you observe about the curves?

Sketch $y=(|x|+1)(|x|-2)(|x|-3)$ from $y=(x+1)(x-2)(x-3)$.

Sketch $y=f(|x|)$ given the graph of $y=f(x)$.

Given $f(x)=x+4$, sketch $y=f(|x|)$.