Asymptotes of Reciprocal Functions
Read this topicExplanations 3
- (Videos) The Reciprocal Function by mathman1024 Here's a video by mathman1024 explaining the basic rational function, the reciprocal function. The reciprocal function is: f(x)=1…
By Alex Federspiel, Anusha Rahman
- Asymptotes of Reciprocal Functions The easiest way to graph reciprocal functions is through the asymptotes. We can figure out the asymptotes of a reciprocal function by looking …
By Anusha Rahman
- Reciprocal Functions: Asymptotes When graphing reciprocal functions, asymptotes are very helpful. Asymptotes are invisible lines that a graph gets closer and closer to, but neve…
By Anusha Rahman
Problems 5
- The function f(x)=1xf(x) = \frac{1}{x}f(x)=x1 never touches the xxx-axis. What is the maximum amount you could shift this function vertically and still have it not touch the xx…
- Which of the following statements about the asymptotes of reciprocal functions are true?
- Let f(x)=1xf(x) = \frac{1}{x}f(x)=x1. Which of the following is equal to fff shifted kkk units right and jjj units up?
- Let fff be a reciprocal function with asymptotes x=αx = \alphax=α and y=1αy = \frac{1}{\alpha}y=α1 for some α≠0\alpha \not= 0α=0. Which of the following is an equation for fff?
- What are the horizontal and vertical asymptotes of y=2x−3+1y=\dfrac{2}{x-3}+1y=x−32+1?