Sketch the graph of each function below and give the domain and range for :

1. f(x)= ( x-1)to the power of two minus 2.

1. F(x) = Y = (X-1)^2 - 2.

To graph the function,find 2 points on each side of the vertex:

(-1,2), (0,-1), V(1,-2), (2,-1), (3,2).

Domain: Since there is no denominator that can become zero and cause the function to be undefined, the domain
is all real values of X.

Range: The lowest point on the graph
is the vertex with a Y-coordinate of
-2. Therefore, the range is all values
of Y from -2 to infinity.