Graphing Piecewise-Defined Functions Practice

Practice Problems


  1. f(x) = \begin{cases}\dfrac{1}{2}x+6 & , &  -4\le x < 0\\\\-5 & , & 0 \le x\le 7\end{cases}

    What is the graph of ‍f?

    Choose 1 answer:

    1. a
    2. b


  2. f(x) = \begin{cases}5-\dfrac{1}{3}x & , &  -9\le x < -3\\\\\dfrac{2}{3}x & , & -3 \le x \le 8\end{cases}

    What is the graph of ‍f?

    Choose 1 answer:

    1. a
    2. b


  3. f(x) = \begin{cases}-\dfrac{2}{3}x & , &  -5\le x\le 2\\\\1 & , & 2< x\le 6\end{cases}

    What is the graph of ‍f?

    Choose 1 answer:

    1. a
    2. b


  4. h(x) = \begin{cases}2-x & , &  -7\le x \le5\\\\3x-21 & , & 5 < x \le 9\end{cases}

    What is the graph of ‍h?

    Choose 1 answer:

    1. a
    2. b



Source: Khan Academy, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/e/piecewise-graphs-linear
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