Question

Identify the x and y intercepts of the graph of the function below. Type your intercepts as a point (x,y). If an intercept does not exist type "none". If more than one intercept exists you can type either intercept.f(x)= -3|x-2|-1 x intercept = Answery intercept = Answer

Answer 1

Given function is

$f(x)=-3|x-2|-1$

Putting x=0, we have,

$\begin{gathered} f(0)=-3|-2|-1 \\ =-3(2)-1 \\ =-7 \end{gathered}$

Hence, the y intercept is (0,-7).

To find the x intercept, let us solve teh equation

$f(x)=0$

It gives

$\begin{gathered} -3|x-2|=1 \\ |x-2|=-\frac{1}{3} \end{gathered}$

But this equation has no solution.

Hence, the x intercept is NONE