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Home > CC3 > Chapter 9 > Lesson 9.1.1 > Problem 9-13

9-13.

Determine whether the graphs below are functions or not functions. Explain your reasoning.

A graph is only a function if there is no more than one -value for any given -value.

  1. A line segment connecting the points, (negative 2, comma negative 4), and (4, comma 2).

    Are there any points on this line segment that are above or below another point on the line segment? If there are, the graph is not a function.

    This graph is a function.

  1. A wavy curve, connecting 2 points (4, comma negative 3) and (3, comma 2). The curve oscillates right and left between 2 and 4.

    See hint for part (a).

    This graph is not a function. Some -values are related to multiple values. For example, when is , can be or .

  1. A coordinate plane with points as follows: (negative 2, comma 2), (negative 1, comma negative 1), (negative 2, comma negative 4), and (4, comma 1).

    See hint for part (a).

  1. A curved continuous graph, with arrows at both ends, that rises from the bottom left, to the point, (negative 1, comma 0), then falls to the point, (1, comma negative 1), then rises again.

    See hint for part (a).

  1. First and fourth quadrants with 2 curved sections. The section in the first quadrant, approaches the x axis, for larger x values, and approaches the y axis, for very small positive x values. The section in the fourth quadrant, approaches the x axis, for larger x values, and approaches the y axis, for very small positive x values.

    See hint for part (a).

    This graph is not a function.

  1. A coordinate plane with points as follows: (negative 1, comma ), (1, comma 2), (2, comma negative 2).

    See hint for part (a).