Need in math serious answers and explanation .

The step function g(x) is defined as shown. what is the range of g(x)? ***answer choices in picture.

Pls! does anybody know a shortcut for answering these types of questions in the future?

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?