Question

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

(-6.5, ∞)
(-5, ∞)
(-∞, -5)
(-∞, -6.5)

Answer 1

answer is (-5, infinity)

Answer 2

The answer to your question is (-5, ∞)

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, ∞)