f x 1 x graph

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f x 1 x graph Answer Boundedness is about having finite limits In the context of values of functions we say that a function has an upper bound if the value does not exceed a certain upper limit More Explanation Other terms used are bounded above or bounded below For example the function f x 1 1 x2 is bounded above by 1 and below by 0 in that

The discontinuity for f x 1 x is at x 0 Discontinuities occur at values of x where the graph can t be evaluated Since division by 0 is mathematically undefined we can t plot a point for it on the graph of 1 x it represents a break in the graph This also means that in this case there is actually a vertical asymptote with the equation x 0 F x 1 x 3 At first we have to find the Domain of the function For this the denominator of the function should not become zero When the denominator of the function approaches to the 0 the function approaches to the infinity x 3 0 x 3 So Df x R 3 Here x 3 f x Then we should

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f x 1 x graph
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Pr ft Der Graph F x 1 x Nicht Streng Genommen Dass Eine Zahl 0
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On the graph of a function f x a vertical asymptote occurs at a point P x 0 y 0 if the limit of the function approaches oo or oo as x x 0 For a more rigorous definition James Stewart s Calculus 6 th edition gives us the following Definition The line x a is called a vertical asymptote of the curve y f x if at least one of the Remember that the limit definition of the derivative goes like this f x lim h 0 f x h f x h So for the posted function we have f x lim h 0 m x h b mx b h By multiplying out the numerator lim h 0 mx mh b mx b h By cancelling out mx s and b s lim h 0 mh h By cancellng out h s

Domain oo 0 uu 0 oo Range oo 0 uu 0 oo Your function is defined for any value of x except the value that will make the denominator equal to zero More specifically your function 1 x will be undefined for x 0 which means that its domain will be RR 0 or oo 0 uu 0 oo Another important thing to notice here is that the Graph 1 x 20 20 10 10 The easiest way would be to plug in numbers for x I d say try

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Assign a number to x to find f x If x is 1 f x 3 If x is 2 f x 3 5 etc Note that f x is not defined when x 0 graph 1 x 4 10 10 5 5 The graph of f x x 2 is called a Parabola It looks like this One of the ways to graph this is to use plug in a few x values and get an idea of the shape Since the x values keep getting squared there is an exponential increase on either side of the y axis You can see this by plugging in a few values When x 0 f x 0 x 1 f x 1 2 1 x

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f x 1 x graph - Domain oo 0 uu 0 oo Range oo 0 uu 0 oo Your function is defined for any value of x except the value that will make the denominator equal to zero More specifically your function 1 x will be undefined for x 0 which means that its domain will be RR 0 or oo 0 uu 0 oo Another important thing to notice here is that the