Try It

  1. Practice 1
    This is the graph of the function y = −x² − 5 Match the given labels to the correct places on the graph.
    relative maximum (0, −5)
    increasing
    decreasing


    Answer:

  2. Practice 2
    This is the graph of the function y equals the square root of the fraction with numerator 36 minus 4 x squared and denominator 2match the labels to the correct places on the graph.
    Relative minimum (0, 4.2)
    increasing
    decreasing

    Answer:

  3. Practice 3
    This is the graph of the function. Match the given points to the correct places.
    Points: (0, −3) (2, 1)
    Relative Maxiumum
    Relative Minimum

    Answer: Relative Maximum (2, 1)
    Relative Minimum (0, −3)

  4. Practice 4
    This is the graph of the functionf of x equals the square root of x squared minus 4. (-2,0) and (2,0) are closed endpoints. Match the given points to the correct places.
    Points: (-2, 0) (2, 0)
    Relative Maximum
    Relative Minimum
    Neither

    Answer:

    Relative Minimum (-2, 0)

    Relative Minimum (2, 0)

    Since the graph is not continuous in the interval (−2, 2) then the endpoints are considered relative minima.

  5. Practice 5
    This is the graph of the function h of t equals 4 x the square root of 2 minus x Match the given points to the correct places. (2,0) is a closed endpoint.
    Points: (1.3, 4.4) (2, 0)
    Relative Maximum
    Relative Minimum
    Neither

    Answer: Relative Maximum (1.3, 4.4)
    Relative Minimum (2, 0)

    Since the graph is continuous on the interval (−∞,2],then the closed endpoint is considered a relative minimum.