# Readers ask: How Do You Find The Asymptotes Of An Exponential Function?

Exponential Functions A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e6x – 4 is: y = -4, and the horizontal asymptote of y = 5 (2x) is y = 0.

## How do you find the asymptotes of a function?

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.

1. Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
2. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote.

## How do you find the intercepts asymptotes and exponential functions?

The location of the horizontal asymptote on the graph determines whether the graph will have an x-intercept.

1. If the horizontal asymptote lies on or above the x-axis, the graph will not have an x-intercept.
2. If the horizontal asymptote lies below the x-axis, the graph will have an x-intercept.

## How many asymptotes can a function have?

A function can have at most two different horizontal asymptotes. A graph can approach a horizontal asymptote in many different ways; see Figure 8 in §1.6 of the text for graphical illustrations. In particular, a graph can, and often does, cross a horizontal asymptote.

## How do you find the asymptotes of a tan graph?

For any y=tan(x) y = tan ( x ), vertical asymptotes occur at x=π2+nπ x = π 2 + n π, where n is an integer. Use the basic period for y=tan(x) y = tan ( x ), (−π2,π2) ( – π 2, π 2 ), to find the vertical asymptotes for y=tan(x) y = tan ( x ).

## What is an asymptote in exponential functions?

asymptote: A line that a curve approaches arbitrarily closely. Horizontal asymptotes correspond to the value the curve approaches as x gets very large or very small. exponential function: Any function in which an independent variable is in the form of an exponent; they are the inverse functions of logarithms.

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## How do you find the asymptote of a graph?

Vertical asymptotes can be found by solving the equation n(x) = 0 where n (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 asymptotes for the function. The graph has a vertical asymptote with the equation x = 1.

## Do exponential functions have asymptotes?

Certain functions, such as exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e6x – 4 is: y = -4, and the horizontal asymptote of y = 5 (2x) is y = 0.

## Do polynomial functions have asymptotes?

The only polynomial functions that have asymptotes are the ones whose degree is 0 (horizontal asymptote) and 1 (oblique asymptote), i.e. functions whose graphs are straight lines.

## Where are the asymptotes for TANX?

We know cosx=0 for x=(π2)+nπ where n is any integer. Therefore, tanx has vertical asymptotes at x=(π2)+nπ. No horizontal asymptotes exist for the tangent function, as it increases and decreases without bound between the vertical asymptotes.

## How do you find the asymptotes of Cotangent functions?

Use the basic period for y=cot(x) y = cot ( x ), (0,π), to find the vertical asymptotes for y =cot(x) y = cot ( x ). Set the inside of the cotangent function, bx+c b x + c, for y=acot(bx+c)+d y = a cot ( b x + c ) + d equal to 0 to find where the vertical asymptote occurs for y=cot(x) y = cot ( x ).