from left side of point P(1,0) graph is above x-axis and from right side of point Q(5,0) graph is above x-axis . Hence , Positive interval is
( -∞ , 1) & ( 5 , ∞ ) . Correct option is D.
Explanation:
Here we have , We need to find the interval of positive of the graph as :
In order to find the positive interval we will see following things in the graph
- In the graph we will see where does the graph cut x - axis and how many times do they cut
- Now , we will see the points where graph cut x-axis , and will see on which side of x -axis is graph above x-axis ( i.e. being positive ).
From the graph given in question , We can see that graph cut x-axis at points :

And , from left side of point P(1,0) graph is above x-axis and from right side of point Q(5,0) graph is above x-axis . Hence , Positive interval is
( -∞ , 1) & ( 5 , ∞ ) . Correct option is D.