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2.2E: Exercises

  • Page ID
    110608

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    Practice makes perfect!

    Graphing ordered pairs on the Cartesian coordinate plane

    Graph the following ordered pairs on the Cartesian coordinate plane:

    1. (0, 3)
    2. (-2, -1)
    3. (1, 0)
    4. (2, -4)
    5. (-3, 3)
    6. (-2, -4)
    Answer

    graph_pts.JPG

    Identifying points on the Cartesian coordinate plane

    Identify the points on the Cartesian coordinate plane below:

    id_pts.JPG

    Answer
    1. (-1, 3)
    2. (0, 0)
    3. (2, 1)
    4. (3, -2)
    5. (-3, -1)
    6. (-1, 6)
    Compute distance between two points

    Compute the distance between the points below:

    1. (3, 6), (15, 1)
    2. (-2, 5), (-2, -4)
    3. (-1, 0), (2, 3)
    4. (7, -2), (5, 2)
    Answer

    Add texts here. Do not delete this text first.

    1. 13
    2. 9
    3. \(\sqrt{18}\) (or \(3\sqrt{2}\))
    4. \(\sqrt{20}\) (or \(2\sqrt{5}\)
    Find the midpoint between two points

    Find the midpoint for each pair of points below:

    1. (3, 6), (15, 1)
    2. (-2, 5), (-2, -4)
    3. (-1, 0), (2, 3)
    4. (7, -2), (5, 2)
    Answer
    1. \(\left(9, \frac{7}{2}\right)\)
    2. \(\left(-2, \frac{1}{2}\right)\)
    3. \(\left(\frac{1}{2}, \frac{3}{2}\right)\)
    4. (6, 0)
    Graphing relations

    Graph the relations below:

    1. \(R = \{(-5, -1), (-4, 0), (-3, 1), (-2, 2), (-1, 3), (0, 4)\}\)
    2. \(R = \{(3, 0), (-2, 3), (-2, 4), (1, -5)\}\)
    3. \(R = \{(-4, 0), (-3, -1), (-4, 0), (-1, 1), (2, 1), (0, 4)\}\)
    4. \(R = \{(-2, 1), (-1, 4), (3, 3), (0, -5)\}\)
    Answer
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    graph_rel1.JPG

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    graph_rel4.JPG

    Graphing functions defined by an equation

    Graph the functions below using a table.

    1. \(f(x) = 2x + 1\)
    2. \(f(x) = x^2 + 1\)
    3. \(f(x) = \sqrt{x + 4}\)
    4. \(f(x) = |x| + 5\)
    5. \(f(x) = -3\)
    6. \(f(x) = -3x + 4\)
    7. \(f(x) = 2x^2 - 2\)
    8. \(f(x) = \sqrt{x + 4} + 2\)
    9. \(f(x) = -2|x| + 3\)
    10. \(f(x) = 3\)
    Answer

    Tables will vary depending on inputs used; graphs should match those shown below.

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    This page titled 2.2E: Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Stanislav A. Trunov and Elizabeth J. Hale.

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