Explanation:
On the region, (-oo,0.5), the graph formes a upside U shaped , this mean the graph is concave down on this region. this implies that our second derivative is negative and our first derivative is changing negatively.
The graph is concave up from (0.5,oo) since the graph formes a U shape.
This also implies that (0.5) is a inflection point
The function crosses the x axis at -1,0,3
So the 2nd,3rd,6th, 7th options are correct