How do you find the domain and range of # p(x)=x^2-2x+7#?

1 Answer

Answer:

Domain: #(-oo, +oo)#
Range:#" "[6, +oo)#

Explanation:

This is a parabola #p(x)=x^2-2x+7#

We solve for the vertex to determine the minimum point, because this parabola opens upward.

#p(x)=x^2-2x+1-1+7#
#p(x)=(x-1)^2+6#
#p(x)-6=(x-1)^2#

Vertex is at #(1, 6)#

graph{y=x^2-2x+7[-20,20,-10,10]}

God bless....I hope the explanation is useful.