The interval at which the graph of f(x) = ¹/₂x² + 5x + 6 is increasing is; (–5, ∞)
How to find function Intervals?
We are given the function;
f(x) = ¹/₂x² + 5x + 6
We want to find the interval for which the function is increasing and so we first find derivative to get;
f'(x ) = x + 5
For the function to increase, it means f'(x) > 0.
Thus;
x + 5 > 0
x > -5
Thus, the graph is increasing at interval of ( -5, ∞).
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