the daily net income of jenna's floral buisness, based on x bouquets made, is represented by function below
g(x)=-x2+72x-567
which of the following describes the graph of jenna's daily net income on interval (0,63)?
The graph of Jenna's daily net income on the interval (0,63) will start from below the x-axis, rise to a peak, and then fall back down to below the x-axis. This is because the function g(x)=-x^2+72x-567 is a quadratic function with a negative coefficient for the x^2 term, indicating a downward opening parabola.
Therefore, the graph will show a peak at some point between x=0 and x=63, and will be below the x-axis for most of the interval. The maximum value of the function occurs at x=36, where g(36) = 396.
So, the graph of Jenna's daily net income on the interval (0,63) will be a downward opening parabola, with a peak at x=36 and a maximum value of 396.