Quick Check Solutions Library of Functions Target D
Piece 1: \( f(x) = -\frac{1}{3}x + 2, x < 0 \)
This would be a ray because the domain is a single inequality.
Piece 2: \( f(x) = 3, 0 \leq x < 3 \)
This would be a segment because the domain is a compound inequality.
Piece 3: \( f(x) = -2x + 7, x \geq 3 \)
This would be a ray because the domain is a single inequality.
This would be a ray because the domain is a single inequality.
Piece 2: \( f(x) = 3, 0 \leq x < 3 \)
This would be a segment because the domain is a compound inequality.
Piece 3: \( f(x) = -2x + 7, x \geq 3 \)
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 \( x \geq 3 \) 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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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 \( x \geq 3 \) 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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