Library+of+Functions-Target+C-Piecing+Things+Together-Quick+Check+Solution

Piece 1: f(x) = -1/3x + 2, x < 0 This would be a ray because the domain is a single inequality.

Piece 2: f(x) = 3, 0 __<__ x < 3 This would be a segment because the domain is a compound inequality.

Piece 3: f(x) = -2x + 7, x __>__ 3 This would be a ray because the domain is a single inequality.

Graph of the function: Piece 1: Ray with starting point where x has a value of 0. The ray goes up and to the LEFT since x < 0 means "x is less than 0". There is an open circle because the inequality symbol does not have the line underneath it.

Piece 2: Segment with endpoints located where x has a value of 0 and x has a value of 3. There is a closed circle at (0, 3) because the inequality symbol associated with the 0 in the compound inequality has the line underneath it. There is an open circle at (3, 3) because the inequality symbol associated with the 3 in the compound inequality does not have the line underneath it.

Piece 3: Ray with starting point where x has a value of 3. The ray goes down and to the RIGHT because x __>__ 3 means "x is greater than or equal to 3". There is a closed circle because the inequality symbol has the line underneath it.

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