Exercises 17.5, page 491

  1. 1. y < 3 − x

    The graph of a dashed line that falls through (0, 3) and (3, 0). The area below the line is shaded.
  2. 3.

    The graph of a dashed line that rises through (0, negative 1) and (1, 0). The area above the line is shaded.
  3. 5.

    The graph of a solid line that rises through (negative 5 over 2, 0) and (0, 5). The area above the line is shaded.
  4. 7.

    The graph of a dashed line that falls through (negative 2, 0) and (0, negative 3). The area above the line is shaded.
  5. 9.

    A dashed upward opening parabola with a vertex at (0, 0). The area below the parabola is shaded.
  6. 11.

    A dashed upward opening parabola with a vertex in quadrant 4. The area below the parabola is shaded.
  7. 13.

    A dashed downward opening parabola with a vertex in quadrant 1. The area below the parabola is shaded.
  8. 15.

    The graph of a dashed curve that rises from the x-axis to the y-axis, then falls and approaching the x-axis. The area above the curve is shaded.
  9. 17.

    The graph of a curve that oscillates about y = 1 with amplitude 1, period pi, and a minimum at (negative pi over 4, 0). The area above the curve is shaded.
  10. 19.

    The graph of a solid horizontal line at y = negative 10, and a dashed horizontal line at y = negative 20. The area between them is shaded.
  11. 21.          

    The graph of a dashed upward opening V-shape, and a dashed downward opening V-shape, each with a vertex at (0, 0). The areas within the shapes are shaded.
  12. 23.

    The graphs of 2 dashed lines. One rises and one falls, and they intersect in quadrant 1. The area above both lines is shaded.
  13. 25.

    The graph of a dashed line that rises through (0, negative 2) and (2, 0), and a solid upward opening parabola with a vertex at (0, 0). The area above the line and below the parabola is shaded.
  14. 27.

    The graphs of overlapping parabolas. The upward opening parabola is dashed with a vertex at (0, 0), and the downward opening parabola is solid with a vertex in quadrant 1. The area between them is shaded.
  15. 29.

    The graph of a solid curve that oscillates about y = 0. The areas to the right of the y-axis, above the x-axis, and below the curve are shaded.
  16. 31.

    The graphs of 2 dashed horizontal lines at y = 3 and y = negative 7, and 2 solid vertical lines at x = 1 and x = 5. The rectangular area between the lines is shaded.
  17. 33.

    A blank x y plane.
  18. 35.

    The calculator graph of a line that falls through (0, 5) and (5 over 2, 0). The area below the line is shaded.
  19. 37.

    A parabola opens downward with a vertex at (0, 1). The area above the parabola is shaded.
  20. 39.

    The calculator graph of a line that rises through (0, negative 1) and (one-half, 0), and a curve that opens upward with a vertex at (0, negative 8). The area above the line and outside the curve is shaded.
  21. 41.

    The calculator graphs of 3 curves.
  22. 43.

    The calculator graph of an upward opening V-shape with a vertex at (2, 0), and a parabola that opens downward with a vertex at (0, 1). The area below the V-shape and above the parabola is shaded.
  23. 45. y < 3x + 4

  24. 47. Above

  25. 49.

    A dashed parabola opens upward, falling through (negative 2, 0) to vertex (0, negative 6), then rising through (2, 0). A solid line rises through (0, negative 3), intersecting the parabola twice.
  26. 51.

    The graphs of 3 solid lines. Two horizontal lines are at B = 200 and B = 200, and a vertical line is at Ay = 300. The rectangular area between the lines and the y-axis is shaded.
  27. 53.

    The graph of a dashed curve that begins at (0, 0), rising with increasing steepness. The area above the curve in quadrant 1 is shaded.
  28. 55.

    The graph of a dashed line that falls from (0, 100) to (60, 0). The area above the line is shaded.
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