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  • John Rhodes
  • July 25, 2023
  • Calculus

The Greatest Integer Function: Understanding its Definition and Applications in Mathematics

greatest integer function f(x) = [IxI] The greatest integer function, denoted as [x], sometimes referred to as the floor function, is a mathematical function that returns the...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Finding the Vertex of the Function f(x) = |x| – 2: Step-by-Step Guide with Calculation

What is the vertex of: f(x) = |x| – 2 (0, -2) To find the vertex of the function f(x) = |x| – 2, we need to...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Determining the Vertex of an Absolute Value Function: Understanding Horizontal Shifts | Math Tutorial

What is the vertex of: f(x) = |x – 2| (2, 0) To find the vertex of a function in the form f(x) = |x – a|,...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding the Vertex of Absolute Value Functions: Explained with f(x) = |x – 4|

What is the vertex of: f(x) = |x – 4| (4, 0) To find the vertex of the function f(x) = |x – 4|, we first need...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Finding the Vertex of the Function f(x) = |x| – 4: Explained and Illustrated

What is the vertex of: f(x) = |x| – 4 (0, -4) To find the vertex of the given function f(x) = |x| – 4, we need...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding the Vertex of the Absolute Value Function: Finding the Critical Point and Graph Characteristics

What is the vertex of: f(x) = |x| (0, 0) The function f(x) = |x| represents the absolute value function. The graph of the absolute value function...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Analyzing the Properties and Behavior of the Exponential Function f(t) = Ae^(kt)

If f(t)= Ae^kt than If the function f(t) is given by f(t) = Ae^(kt), where A and k are constants, we can analyze its properties and behavior...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Monotonic Functions: Definition, Examples, and Applications in Mathematics

When is a function Monotonic? A function is said to be monotonic if it consistently increases or decreases throughout its entire domain A function is said to...
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