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Finding the Maximum and Minimum Points on Graphs definitions

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  • Maximum Point
    Highest location on a graph where the direction shifts from rising to falling, marking a peak in the curve.
  • Minimum Point
    Lowest location on a graph where the direction shifts from falling to rising, marking a trough in the curve.
  • Turning Point
    Spot on a graph where the curve changes direction, indicating either a peak or a trough.
  • Critical Point
    Specific location on a graph where a directional change occurs, often signaling a maximum or minimum.
  • Graph Continuation
    Extension of a curve beyond visible points, affecting whether maximum or minimum points exist.
  • Upside Down U
    Shape of a curve that rises then falls, typically featuring a maximum at its highest point.
  • Peak
    Topmost position on a curve, representing the highest value before the graph descends.
  • Trough
    Bottommost position on a curve, representing the lowest value before the graph ascends.
  • Direction Change
    Moment on a graph where the trend shifts from increasing to decreasing or vice versa.
  • Visual Identification
    Method of spotting key points on a graph by observing changes in the curve without calculations.
  • Rising Segment
    Part of a graph where values consistently increase, leading up to a maximum.
  • Falling Segment
    Part of a graph where values consistently decrease, leading up to a minimum.
  • Foundational Skill
    Essential ability for recognizing key features on graphs, crucial for advanced analysis.