Step-by-step explanation:
Let's select values for X, and find the corresponding Y values:
X = -3, Y = 8.5
X = -2, Y = 7
X = -1, Y = 5.5
X = 0, Y = 4
X = 1, Y = 2.5
X = 2, Y = 1
X = 3, Y = -0.5
So our coordinates are:
(-3, 8.5) ; (-2, 7) ; (-1, 5.5) ; (0, 4) ; (1, 2.5) ; (2, 1) and (3, 0.5)
Graph these on a chart to visualize:
(In picture)
We can see that this is a decreasing linear function, <em>not</em> quadratic. Quadratic functions create a symmetrical curve, which this is not.
Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)