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|=-(1)/(3) \end{gathered}`

But this equation has no solution.

Hence, the x intercept is NONE