Question

The graph of g(x)=3|x|-4 maps a person's path from their house to school and then from school to their friend's house. At what point is the school located?

Answer 1

`x=0, g(x) =-4`

Explanation:

Given that:

Graph of
`g(x)=3|x|-4` represents the path of a person from their house to school and then from school to their friend's house.

First of all let us learn about the graph of an absolute function.

An absolute function first decreases and then starts increasing from one point.

At that point, value of
`x=0`.

As per the problem statement given, the location of the school can only be the point that we have discussed above.

Given that the equation is:

`g(x)=3|x|-4`

Let us put the value of
`x=0`

`g(x)=3|0|-4\\\Rightarrow g(x)=-4`

Therefore, the location of the school is:

(0, -4) or
`x=0, g(x) =-4`