Domain And Range Of A Reciprocal Squared Function

I could draw the graph of this function but my confusion is if x values are getting bigger from 0 then y values are getting closer to 0 or approaching infinity which means y values are not getting bigger as x values get bigger.

Domain and range of a reciprocal squared function. 1 x 1 whose domain is x x 0 x a real number. The reciprocal function is defined as f left x right frac 1 x the domain of this function is d mathbb r left 0 right. Its domain is the real numbers except 0 because 1 0 is undefined.

Analysis of the solution we can see that these functions if unrestricted are not one to one by looking at their graphs. Further 1 divided by any value can never be 0 so the range also will not include 0. This is actually very weird as this suggest that instead of the 2 lines of a normal reciprocal of a linear function this has a third line.

The reciprocal squared function can be restricted to the domain latex left 0 infty right latex. From here we can also find that the vertical asymptotes are. What will be the range of this function.

Plot the graph here. What is the domain and range of reciprocal functions. Let us first analyze the behavior of this function in more detail.

Learn how to graph the reciprocal function. Its domain is x x 0 its range is also x x 0 as an exponent. A reciprocal function is a rational function whose expression of the variable is in the denominator.

Therefore the domain is. To get a better picture of the graph we can see where does the function go as it approaches the asymptotes. I cannot find the range of this reciprocal function.