Understand Rational Functions with Examples and Solutions

High School
Algebra
Algebra II
Rational functions

Determine the domains of the given rational functions.
$\frac{4}{(x^{3}) + (x^{2})}$

CMIIh 2021-05-09

For the following exercises, find the domain of the rational functions.
$f (x) = \frac{x^{2} + 4 x - 3}{x^{4} - 5 x^{2} + 4}$

Maiclubk 2021-05-08

Graph the rational functions. $y = \frac{(x^{3}) + x - 2}{(x - (x^{2}))}$

nitraiddQ 2021-05-07

How do exponential functions differ from polynomial and rational functions?

bobbie71G 2021-05-05

Graph the rational functions. $y = \frac{x}{(x^{2}) - 2}$

Reggie 2021-05-04

(a) How do you find vertical asymptotes of rational functions? (b) Let s be the rational function $s (x) = \frac{a_{n} x^{n} + a_{n - 1} x^{n - 1} + \dots + a_{1} x + a_{0}}{b_{m} x^{m} + b_{m - 1} x^{m - 1} + \dots + b_{1} x + b_{0}} $ $$
How do you find the horizontal asymptote of s? (c) Find the vertical and horizontal asymptotes of $f (x) = \frac{5 x^{2} + 3}{x^{2} - 4}$

geduiwelh 2021-05-03

Consider the following rational functions: $r (x) = \frac{2 x - 1}{x^{2} - x - 2}$ .
$s (x) = \frac{x^{3} + 27}{x^{2} + 4}$
$t (x) = \frac{x^{3} - 9 x}{x + 2}$
$u (x) = \frac{(x^{2}) + x - 6}{x^{2} - 25}$
$w (x) = \frac{x^{3} + 6 x^{2} + 9 x}{x + 3}$
What are the asymptotes of the function r(x)?

Yasmin 2021-05-02

Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms. $\frac{x + 3}{x + 2}$

Lewis Harvey 2021-03-06

Construct a rational function whose domain is all real numbers. Provide evidence as to why the domain of your rational function is all real numbers.

glamrockqueen7 2021-03-04

Rational number: wha is 0.02 as a rational number

allhvasstH 2021-02-25

True or False. The graph of a rational operate could encounter a horizontal straight line.

Reggie 2021-02-21

Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient. Zeros: -1, multiplicity 1, 3, multiplicity 2, degree 3

FizeauV 2021-02-15

Is $- 18 / 6$ irrational, rational, natural, or integer

Haven 2021-02-14

What are the cut points of a rational function? Explain how to solve a rational inequality.
$c h e c k_{c i r c l e}$

iohanetc 2021-02-13

Confirm that if x is rational and $x \neq 0$ , then $\frac{1}{x}$ is rational.

Emeli Hagan 2021-02-12

Find the parent function (f) of
$h (x) = | x + 3 | - 5$

lwfrgin 2021-02-12

Given $f (x) = 3 x + 4 and g (x) = \sqrt{x}$ , calculate g(f)

Chardonnay Felix 2021-02-12

What are the Limits at Infinity of Rational Functions?

Reggie 2021-02-11

Construct a rational function that has a vertical asymptote at $x = 3$ and a removable discontinuity at $x = - 2$ .
Explain how you determined your answer.

Nannie Mack 2021-01-31

True or False. The domain of every rational function is the set of all real numbers.

Rational functions equations are used daily to solve rational issues that can help with the approximation and calculation of certain behavior. For example, rational functions solving is used in the weather forecast and when trying to find rationality. The answers to the questions that have been provided will act as your personal help as you approach answers as your rational functions solver online. Of course, you may compare what you have with the presented solutions. Make sure to look into rational function questions and answers and study the initial instructions, too.

Algebra II

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