Ask question

Ask question

All categories

Mekhanik [1.2K]

1 year ago

12

Using an example, explain what the graph of a rational function looks like. Contrast this with other functions we have studied.

1 answer:

Naddika [18.5K]1 year ago

8 0

The graph of a rational function differs from that of other functions with the existence of asymptotes

<h3>Graph of rational functions</h3>

The properties of the graph of a rational function include;

The graph of a rational function never crosses its vertical asymptote
It crosses its horizontal or slant asymptote
The graph of the reciprocal function y = 1/x or y = k/x is a rectangular (or right) hyperbola of which asymptotes are the coordinate axes

The graph of a rational function differs from that of other functions with the existence of asymptotes.

Learn more about rational functions here:

brainly.com/question/1851758

#SPJ1

You might be interested in

12) 36 gallons is equal to how many quarts? 4 qt=1 gallon*

guapka [62]

Answer:

144

Step-by-step explanation:

36 x 4

5 0

3 years ago

Read 2 more answers

The area of a rectangular piece of cardboard is represented by

Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

$A = wl$

w(2w + 3) = 9

From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

$w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3$

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0

2 years ago

In column C, there are too many numbers after the decimal place. Karl does not need this level of detail as it is distracting fr

Gemiola [76]

Round his data to 2 decimal places

7 0

3 years ago

On Thursday, a company received 10 boxes with 16 desk calendars

Jet001 [13]

Answer:

340

Step-by-step explanation:

10 ×16=160

12×15=180

160+180=340 so a total of 340 calendars

3 0

2 years ago

A 25 foot ladder is leaning against a house. If the angle of Elevation of the ladder is 72 degrees:

coldgirl [10]

Answer:

1. 23.8

2. 7.7

Step-by-step explanation:

<u>for the first blank</u>

use sin because x is opposite and 25 is hypotenuse

set up an equation:

sin(72)= (x/25)

multiply both sides by 25:

25(sin(72))= (x/25)25

25(sin(72))= x

multiply 25 by sin(72):

23.8 = x

<u>for the second blank</u>

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

7.7= x

3 0

3 years ago