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8 Function: Boundedness, unbounded, lower bounded, upper bounded by Mohit Tyagi
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Topics covered in this video by Mohit Tyagi (MT sir) famous faculty are:
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Topics covered in this lecture with timestamp :
00:00 Boundedness: Introduction to the concept of boundedness in mathematical functions, explaining what it means for a function to be bounded above, bounded below, or bounded on both sides.
04:22 Example: Presentation of an example to illustrate boundedness, showing a function and explaining how to determine its bounds within a certain interval or over its entire domain.
06:30 Unbounded: Discussion on unbounded functions, explaining what it means for a function to be unbounded, providing examples, and showing how these functions extend infinitely in at least one direction.
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Introduction to Graphs | Function Terminologies with Graph | Domain | Ranges of Function | Graphical Interpretation | Root | Identifying Root on a Graph | Maximum Minimum Value | Function Isotope | Boundedness | Unboundedness | Lower Bounded | Upper Bounded | Periodic | Non-Periodic Function | Graph of Linear Function | Quadratic Function | Parabola | Exponential Function | Logarithmic Function | Signum Function | Trigonometric Function | Plotting Graph of Greatest Integer Function | Domain and Ranges | Even and Odd Functions | Composite Functions | Inverse Functions | Continuous and Discontinuous Functions | Piecewise Functions | Absolute Value Function | Transformation of Functions | Symmetry in Graphs | Asymptotes | Behavior at Infinity | Intersection Points of Functions | Zeroes of Functions | Increasing and Decreasing Functions | Derivatives and Tangents to Graphs | Inflection Points | Vertical and Horizontal Shifts | Stretching and Compressing Graphs | Reflections Across Axes | Rate of Change of Functions.
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