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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Horizontal and Vertical Asymptotes in Math: Finding a Function with Both

Horizontal Asymptote at y=3 and Vertical Asymptote at x = 4 b When a function has a horizontal asymptote at y=3, it means that as x approaches...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Vertical Asymptote and Holes in Mathematical Functions: An example with f(x) = (x-1)/(x-1)(x-2)

Vertical Asymptote at x = 2, hole when x = 1 c Vertical asymptote at x = 2 means that the function approaches infinity as x gets...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Creating a Function with a Hole at x = -1 and Vertical Asymptote at x = 1

Hole when x = -1, Vertical Asymptote at x = 1 d In order to provide a detailed answer, we need to clarify the question a little...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Exploring a Mathematical Function with Horizontal and Vertical Asymptotes: Understanding f(x) = k/x

Horizontal Asymptote y=0 and a Vertical Asymptote at x = 0 e A function with a horizontal asymptote of y=0 and a vertical asymptote at x=0 would...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Horizontal Asymptotes and Points of Discontinuity in Functions.

Horizontal Asymptote at y=0 and 3 points of discontinuity f Horizontal asymptote at y=0: A horizontal asymptote is a straight line that the graph of a function...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Vertical Asymptotes: Exploring Function Behaviors and Examples

Vertical Asymptote at x = -3 and x=4 g When a function has vertical asymptotes at x = a and x = b, it means that the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How to Handle a Hole and Other Discontinuities in a Function: Tips and Tricks

Hole at x=0 and 1 other point of discontinuity. h A hole at x=0 is typically a removable discontinuity that occurs when a function is undefined at...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Vertical Asymptotes: Examples of Functions without Vertical Discontinuity

No vertical Asymptote i A vertical asymptote is a vertical line on a graph at which the function’s value is undefined or approaches infinity or negative infinity....
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