How do you find the domain and range of M(x)= -2/14x^2-11x-15?

1 Answer
Apr 20, 2017

Find the Vertex.

Explanation:

This is a quadratic function, whose graph is a parabola.

First, find its vertex, (h, k).

For y = ax^2 + bx + c, the x-coordinate of the vertex is

h = -b/(2a.)

In this case

h = -11/(2/7) = -11*(7/2) = -77/2.

k = M(h) = -(1/7)(-77/2)^2 - 11(-77/2) - 15 = 787/4

Since a < 0, the graph opens down.

The domain of every polynomial function is (-oo, oo).
The range is (-oo, 787/4].