Answer:
[tex]x=-0.4[/tex]
[tex]x=1.7[/tex]
Hopefully the answers are accepted to the nearest tenths.
Step-by-step explanation:
Since the left hand side was already graphed, we just need to graph the right hand side which is [tex]x+1[/tex].
We are going to still let [tex]y[/tex] represent the outputs of [tex]x+1[/tex].
So we want to graph the equation [tex]y=x+1[/tex] on the same graph as the parabola, the almost U shaped graph.
You could make a table to plot the equation.
[tex]y=x+1[/tex]
[tex]x[/tex] | [tex]y[/tex] | ordered pair to graph [tex](x,y)[/tex]
-------------------------------------------------------------------------------------------------------
-2 -2+1=-1 (-2,-1)
-1 -1+1=0 (-1,0)
0 0+1=1 (0,1)
1 1+1=2 (1,2)
2 2+1=3 (2,3)
The purple line I made is the line formed from these points which was generated from the equation [tex]y=x+1[/tex].
Now where the blue curve touches the purple line is our solutions. I put those in orange.
The solutions are approximately, [tex]x=-0.4[/tex] or [tex]x=1.7[/tex].
Hopefully, it accepts solutions to the nearest tenths.
We are trying to approximate where those orange dots are on the number line. Please see attachment 2.
