Over which interval is the graph of f(x)=1/2x2+5x+6 increasing?
(-6.5, ∞)
(-5, ∞)
(-∞, -5)
(-∞, -6.5)

Answer:
The answer to your question is (-5, ∞)
Step-by-step explanation:
A curve decreases when it goes down from left to right.
A curve increases when it goes up from left to right.
In the graph, we notice that it goes down from -∞ to the vertex (-5, -6.5)
And it goes up from the vertex (-5, -6.5) to +∞.
So the answer is (-5, ∞)