Which piecewise function corresponds to this graph? Options: 1. $$f\left(x\right)=\left\{x\ \ \ if\ \ x 2. $$f\left(x\right)=\left\{x\ \ \ if\ \ x\le4;\ \ -x+1\ \ if\ \ x>4\right\}$$ 3. $$f\left(x\right)=\left\{-x+1\ \ if\ \ x 4. $$f\left(x\right)=\left\{-x+1\ \ if\ \ x\le4;\ \ x\ \ if\ \ x>4\right\}$$ 5. None of these

$$f\left(x\right)=\left\{-x+1\ \ if\ \ x

Equation of the function drawn in black: $$f\left(x\right)=-x$$ , $$f\left(x\right)=-\left(x-3\right)$$ , $$f\left(x\right)=-\left(x+3\right)$$ , $$f\left(x\right)=x+3$$ , $$f\left(x\right)=x$$

$$f\left(x\right)=-\left(x-3\right)$$

Is this a function? Explain.

Yes; it passes the vertical line test.

Equation of the piece of the function drawn in red?

$$f\left(x\right)=\left(x+1\right)-1$$

When $$x\le2$$ , what equation is shown in the graph? Options: $$f\left(x\right)=3$$ , $$f\left(x\right)=x$$ , $$f\left(x\right)=\left|x\right|$$ , $$f\left(x\right)=\left|x-1\right|$$ , $$f\left(x\right)=-x$$

$$f\left(x\right)=\left|x\right|$$

IM2: Piecewise Functions 2023 Flashcards

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21 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Match the graph with the correct equation.

Back

5.

FLASHCARD QUESTION

Front

How many pieces is this Piecewise Function composed of?

Back

4

6.

FLASHCARD QUESTION

Front

Domain restrictions for the green piece of the function?

Back

7.

FLASHCARD QUESTION

Front

Portions of a "piecewise" function

Back

may be connected or may not be connected

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