Find the range of increasing function y = -2x ^ 2 + 2x-5.

In order to find the area of increase of the function y = -2x ^ 2 + 2x – 5, we will start by defining the graph of the function.

The graph of the function is a parabola, the branches of which are directed downward. This means that the function will increase in the interval from – infinity to the coordinates of the vertex of the parabola.

Let’s calculate the coordinates of the vertex using the formula:

x0 = -b / 2a = -2/2 * (-2) = -2 / (- 4) = 1/2.

We don’t need to find the value of the function at this point, so we can write the answer:

x belongs to the (-infinity; 1/2) function is increasing.