Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Determine the vertical asymptote(s) if one exists.$$f(x)=\frac{1}{x-5}$$

$$x=5$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Campbell University

Oregon State University

Baylor University

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

01:06

Determine the vertical asy…

01:05

01:19

01:03

01:16

00:57

00:39

find the vertical asymptot…

01:36

02:33

Find all vertical asymptot…

01:27

Determine the horizontal a…

01:26

00:55

01:12

00:46

one X approaches a number eight. The functional value becomes infinite. Then the non X equals a the vertical s motto. How could this situation happened for rational function? A sufficient condition is that the denominator is zero at this point, A and the numerator isn't in this way. The X approaches a denominator approaches zero and the numerator approaches some constant number. And consequently the whole function becomes a very large positive of negative number. So the criteria to find the vertical as Mementos is that the denominator furnishes and the numerator does not. So for this exercise we need the denominator to be zero That is X equals five. And at the same time, the numerator is one Richard Constant and therefore X equals five is a vertical s model for this exercise.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:32

Compute the difference quotient $\frac{f(x+h)-f(x)}{h}, \quad h \neq 0$ When…

04:05

Table 5 shows the gross national product (GNP) of the United States in billi…

01:41

Find the indicated limit.$$\lim _{x \rightarrow 0} \frac{x^{2}+5 x+2}{2 …

12:18

(a) Draw the graph of a function which is continuous at each point in its do…

01:47

Determine the zeros and then, using the sign of the function, draw its sketc…

01:09

In each of the following, solve the given quadratic equation exactly using t…

06:08

Determine any function which is discontinuous at $x=1$ and $x=5$ but which h…

02:25

Plot the lines found in Exercise $17$.

02:15

Given the parabola $y=a x^{2}+b x+c$ (a) determine the relationship between …

01:15

Find the indicated limit.$$\lim _{a \rightarrow 2} \frac{a^{2}+5}{a}$$