Answer:
Positive: [tex](-1,3)[/tex]
Negative: [tex](-\infty,1)\cup (3,\infty)[/tex]
Step-by-step explanation:
The graph represents a parabola that has a maximum vertex at (1,4).
The portion of the graph above the x-axis is considered positive
For [tex]-1\:<\:x\:<\:3[/tex], the function is positive.
We can write this in interval notation as: [tex](-1,3)[/tex]
For [tex]x\:>\:3[/tex] or [tex]x\:<\:-1[/tex] , the function is negative.
We can write this in interval notation as: [tex](-\infty,-1)\cup (3,\infty)[/tex]
