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Show that the graph of the function defined in Example 12 does not cross its horizontal asymptote.

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Oregon State University

Harvey Mudd College

Idaho State 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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01:35

Show the graph of the func…

00:34

Find the horizontal asympt…

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01:56

Sketch a graph of the rati…

02:08

The graph of the rational …

this exercise is exactly the same as Exercise 62. But I will give the solution again here to find the horizontal asthma thought of this function, we need to find the limits. X goes to infinity. So we divide the X to both the numerator and the denominator, not that of an X goes to infinity. Both this firm and this firm goes to zero. Enhance and limited to this is to see that the horizontal Essman thought of these functions y equals two. Next, we want to prove that this function does not across this horizontal asthma taught There is a very easy way to do this. We can rewrite this function like this. Not that for any values of eggs, the NASA term cannot be there and hence F X cannot equal to two for any value of X. This justice says that this function does not across the horizontal asthma taught here is a graph of this function and this to dotted noise, vertical and horizontal as mentors. And as you can see, its function does not across the horizontal asthma dot

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