Question

Draw graph of the function $f\left(x\right)=|x+2|$ and determine at which point does the graph intersect $x$-axis.

• A. $(2,0)$
• B. $(-2,0)$
• C. $(0,0)$
• D. Never intersect $x$-axis

Answer 1

Answer: (B)

$(-2,0)$

$f\left(x\right)=|x+2|$

On $x$ axis $f\left(x\right)=0$

$\Rightarrow |x+2|=0\Rightarrow (x+2)=0\Rightarrow x=-2$

So, the point where the function intersect $x$ axis is $(-2,0)$.

Option B is correct.