The graph models the function y = −x2 − x + 6. Which attribute(s) of the graph tell you the root(s) of the function? Determine the root(s).
Accepted Solution
A:
In a graph the roots of the function are given by the cut points with the x axis. On the other hand, we have the following equation: y = -x2 - x + 6 To find the roots, we equate to zero: -x2 - x + 6 = 0 Rewriting we have: x2 + x - 6 = 0 (x-2) (x + 3) = 0 The roots are: x1 = 2 x2 = -3 Answer: The roots are: x1 = 2 x2 = -3