Vertical asymptotes can be found bysolving the equation n(x) = 0 wheren(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptote
The range of an exponential function depends upon its horizontal asymptote and also whether the curve lies above or below the horizontal asymptote. i.e., for an exponential function f(x) = abx, the range is f(x) > d if a > 0 and f(x) < d if a < 0, where y = d is the ho...
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The Magic Formula y(x) typically produces a curve that passes through the origin x = y = 0, reaches a maximum, and subsequently tends to a horizontal asymptote. For given values of the coefficients B, C, D, and E, the curve shows an anti-symmetric shape with respect to the origin. ...
In the general example shown inGraph 1,'a' stands for the initial amount, and'b' is any real number that is greater than 1. The graph's asymptote atx -axis WhenB is less than 1, you arenotdealing with exponential growth but rather exponential decay(Lesson on Decay). ...
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Horizontal Asymptote | Overview, Rules & Examples End Behavior of Polynomial Functions | Overview & Examples Even & Odd Functions | Formulas, Graphs & Examples Removable Discontinuity | Definition, Graph & Examples Vertical & Horizontal Compression of a Function Period of a Wave | Definition & Formu...
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