QuestionUnit 4 Lesson 12: Piecewise Functions Practice
Complete the rule for so that the graph represents it.
\{ Pretend this bracket goes all the way down the left side ;)
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Studdy Solution
STEP 1
What is this asking? We need to fill in the blanks to complete the definition of a piecewise function, , based on its graph. Watch out! Pay close attention to open and closed circles on the graph, as they tell us whether a point is included in a segment or not!
STEP 2
1. Complete the first piece.
2. Complete the second piece.
3. Complete the third piece.
4. Complete the fourth piece.
5. Complete the fifth piece.
STEP 3
The graph shows a **horizontal line at** from to .
STEP 4
The line segment starts with a **closed circle at** and ends with an **open circle at** .
This means is included, but is not.
STEP 5
So, the first piece is for .
This part was already given to us, but it's good to confirm we understand it!
STEP 6
The graph shows a **horizontal line at** from to .
STEP 7
The segment starts with a **closed circle at** and ends with an **open circle at** .
This means is included, but is not.
STEP 8
So, the second piece is for .
STEP 9
The graph shows a **horizontal line at** from to .
STEP 10
The segment starts with a **closed circle at** and ends with an **open circle at** .
This means is included, but is not.
STEP 11
So, the third piece is for .
STEP 12
The graph shows a **horizontal line at** from to .
STEP 13
The segment starts with a **closed circle at** and ends with an **open circle at** .
This means is included, but is not.
STEP 14
So, the fourth piece is for .
STEP 15
The graph shows a **horizontal line at** from to .
STEP 16
The segment starts with a **closed circle at** and ends with an **open circle at** .
This means is included, but is not.
STEP 17
So, the fifth piece is for .
STEP 18
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