## How do you find the vertical asymptote of an exponential function?

Hint:In order to determine the vertical asymptote of exponential function, consider the fact that the domain of exponential function is x∈R.So there is no value of x for which y does not exist . So no vertical asymptote exists for exponential function.

## What is the horizontal asymptote of a parent exponential function?

A General Note: Stretches and Compressions of the Parent Function f(x) = b. … has a horizontal asymptote at y = 0 \displaystyle y=0 y=0, a range of (0,∞), and a domain of (−∞,∞), which are unchanged from the parent function.

## What is the rule for horizontal asymptote?

Horizontal Asymptotes Rules

When n is less than m, the horizontal asymptote is y = 0 or the x-axis. When n is equal to m, then the horizontal asymptote is equal to y = a/b. When n is greater than m, there is no horizontal asymptote.

## How do you find the asymptotes of an equation?

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.

## Why does an exponential function have a horizontal asymptote?

Properties of Exponential Graphs

The function y=bx y = b x has the x -axis as a horizontal asymptote because the curve will always approach the x -axis as x approaches either positive or negative infinity, but will never cross the axis as it will never be equal to zero.

## How do you translate an exponential function horizontally?

Translating exponential functions follows the same ideas you’ve used to translate other functions. Add or subtract a value inside the function argument (in the exponent) to shift horizontally, and add or subtract a value outside the function argument to shift vertically.

## How do you find the horizontal translation of a graph?

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. g(x) = f (x – k), can be sketched by shifting f (x) k units horizontally.

## What is the inverse of exponential functions?

The logarithmic function g(x) = logb(x) is the inverse of the exponential function f(x) = bx.

## How is exponential function related to logarithmic function?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. … By definition, alogax = x, for every real x > 0.

## How do you convert an exponential function to a logarithmic function and vice versa?

Convert from Exponential to Logarithmic Form

We identify the base b, exponent x, and output y. Then we write x=logb(y) x = l o g b ( y ) .