At which root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis

-7.

Step-by-step explanation:

At the point -4 the graph just touches the x axis ( as its an even power) but at x = -7 it crosses the x axis ( because of the odd power 5).

The graph rises from the left and pass through the x axis at  (-7,0).

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints