Find out the x-intercepts, Mathematics

Assignment Help:

Find out the x-intercepts & y-intercepts for each of the following equations.

                           y =x2 +x - 6

Solution

As verification for each of these we will also sketch the graph of each of function. We will leave the details of the sketching to you to determine. 

                                                      y = x2 + x - 6

Let's first determine the y-intercept(s).  Again, we do this by setting x = 0 & solving for y. usually this is the easier of the two.  Thus, let's determine the y-intercept(s).

                                y =(0)2  + 0 - 6 = -6

Thus, there is a single y-intercept : (0, -6) .

The work for the x-intercept(s) is approximately identical except in this case we set y = 0 and solve for x.  Following is that work.

0 =x2 + x - 6

0 = (x + 3) (x - 2)

⇒         x =- 3, x = 2

For this equation there are two x-intercepts: (-3, 0) & (2, 0) . 

For verification reason here is sketch of the graph for this equation.

171_Sketch the graph.png


Related Discussions:- Find out the x-intercepts

Static or dynamic, Consider a discrete-time system that is characterized by...

Consider a discrete-time system that is characterized by the following difference equation: Y(n) = x(n)cos? 0 n, where ? 0  is constant value, x(n)are the discrete-time input

Trigonometry, A 25 foot ladder just reaches the top of a house and forms an...

A 25 foot ladder just reaches the top of a house and forms an angle of 41.5 degrees with the wall of the house. How tall is the house?

Horizontal asymptote, The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

One integer is two more than another what is greater integer, One integer i...

One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int

What is this distance expressed in standard notation, The distance from the...

The distance from the sun to the earth is approximately 9.3 × 10 7 miles. What is this distance expressed in standard notation? In order to convert this number to standard not

Differentiate quotient rule functions, Example of quotient rule : Let's no...

Example of quotient rule : Let's now see example on quotient rule.  In this, unlike the product rule examples, some of these functions will require the quotient rule to get the de

Vectors, why minimum three coplanar vectors are required to give zero resul...

why minimum three coplanar vectors are required to give zero resultant and not two?

Core concepts, what are the core concept of marketing

what are the core concept of marketing

Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd