In Exercises 80 to 85, sketch the graph of g. a. Find the domain and the range of g. b. State whether g is even, odd, or neither. g(x) = x - 2 + x + 2

Section 1.4 — Homogeneous Linear Systems Wednesday, August 30, 2017 11:40 PM Definition1: A m x n homogeneous linear system has the form: . . . *Note: m is the number of equationsand n is the number of variables. *Note: The pair ( , , ,…, ) is always a solution to a homogeneouslinear system. Theorem1: A m x n homogeneouslinear system has infinitelymany solutions if n > m. Proof of Theorem1: Supposethe linear system does not have infinitely many solutions.Then the ( , , ,… ) solutionis the only solution.Then,after Gauss-JordanEliminationis performed,the augmented matrixwould look like this: … … … Due to the fact that this augmentedmatrix is infinitely big, that means that