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Use the zeros, vertical and horizontal asymptotes along with the sign of the function to sketch its graph.$$f(x)=\frac{1}{x-2}$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Campbell University

Harvey Mudd College

Baylor University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Use the zeros, vertical an…

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Find the horizontal and ve…

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do you find the zero of this function we need? The enumerators equals to zero, but not the denominator for this exercise. This is impossible. Hence it has no zeros to find the vertical. As Mom told we need, the denominator equals to their rope, and now there's a numerator. It's easy to say that X equals to satisfy this condition. Enhance X equals two is a vertical Essman dote to find the horizontal. As Mama told, we need to find a limit of this function when, as goes to infinity and it's easy to see that the X goes to infinity. The denominator goes to infinity. Enhance This whole function goes to zero, so why equals zero is a horizontal as mental for this function? Here is the graph of this function and this to write dotting nice at horizontal and vertical asthma coat

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