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  • John Rhodes
  • June 21, 2023
  • Calculus

Composition Of Functions: A Fundamental Concept In Mathematics And Calculus

Composition of Function One (or more) functions substituted into another function.; f(g(x)) Composition of functions is a mathematical operation that involves combining two or more functions to...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Learn How To Perform X-Axis Reflections On A Coordinate Plane – A Step-By-Step Guide

Reflection over x – axis y = f(x) -> y = -f(x); (x,y) -> (x,-y) When a reflection is performed over the x-axis, it means that each...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Point Reflection Over The Y-Axis: Learn How To Reflect Points With Ease

Reflection over y – axis y = f(x) -> y = f(-x); (x,y) -> (-x, y) The y-axis is a vertical line that runs along the center...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Absolute Value Function: Definition, Applications, And Graphing Methods

Absolute Value of a Function y = f(x) = |f(x)| where f(x) is positive, where f(x) is negative |f(x)| is reflected across the x – axis. The...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Reflection Over Y = X: A 90-Degree Rotation Counterclockwise About The Origin

Reflection over y = x Exchange the x and y values; (x,y) -> (y,x) When we talk about reflection over y = x, we’re referring to a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Math: The Importance Of Axis Of Symmetry In Geometry, Physics And Engineering

Axis/Line of Symmetry A line, l, that is the perpendicular bisector of the segment joining each pair of points.; In a quadratic, the LOS is where x...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Continuity: The Importance Of Smooth Function Transition In Mathematics

Definition of Continuity:1) ___________________2) ___________________3) ___________________ 1) f(c) is defined2) lim x->c of f(c) exits3) lim x-> c of f(x) = f(c) 1) Continuity is a property...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Discover The Intermediate Value Theorem: How Continuous Functions Cross Boundaries For Guaranteed Results

Intermediate Value Theorem:1) ___________________2) ___________________3) ___________________ then there exits a number c between a and b for which f(c) = k 1) f(x) is continues on [a,b]2)...
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