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Show the graph of the function defined by $f(x)=\frac{2 x-4}{x+3}$ does not cross its horizontal asymptote.

Observe $\frac{2 x-4}{x+3}=2-\frac{10}{x+3}$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Missouri State University

Campbell University

McMaster University

University of Michigan - Ann Arbor

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).

03:18

00:53

Determine the horizontal a…

00:36

first we need to find the horizontal asthma thought of this function to find the horizontal hasn't thought. We need to know the limit of this function when X goes to infinity. To find this limit divided acts to both the numerator and the denominator which gives us this expression. The X goes to infinity both this term and this term goes to zero and the hands the diameter is two. This is to see that the Harry rental asthma thought of this function is y equals two. Next, we want to prove that this function does not across y equals two. There is a very easy way to say this. We can rewrite this function like this. Also notes that NASA term cannot be zero for any value of X. This is to say that the function F X cannot equal to two for any value of X. So we proved of our results. Here is a graph of this function and this too right dotting noise. Uh, the horizontal and vertical asthma tops and you can see that it's functioning. Rarely does that. Across the Harizat little asthma taught

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