Question

Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. Graph showing f of x equals absolute value of x plus 1, minus 4 and g of x equals negative 2x minus 3. The graphs intersect at the point 0 comma negative 3.

Answer 1

Answer:

The solution to the system of equations is:

                            (0,-3)

Step-by-step explanation:

The function f(x) is a absolute value function and it is given by:

             $f(x)=|x+1|-4$

and the function g(x) is given by:

              $g(x)=-2x-3$

Also, we know that the solution to the system of equation is the point of intersection of the graphs of the two equations.

By , looking at the graph we observe that they intersect at (0,-3).

         Hence, the solution is: (0,-3)

Answer 2

Answer:

The solution of the system of equations is the point (0,-3)

Step-by-step explanation:

we have

$f\left(x\right)=\left|x+1\right|-4$ -----> equation A

$g\left(x\right)=-2x-3$ ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection point is the point (0,-3)

see the attached figure

therefore

The solution of the system of equations is the point (0,-3)