a. Sketch the graph of y= 1/x 2 4, showing clearly the coordinates of the points where

Question:

a. Sketch the graph of y =  1/x² − 4, showing clearly the coordinates of the points where the curve crosses the coordinate axes and stating the equations of the asymptotes.

b. The curve with

passes through the origin. Find the two possible values of k.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 03:23 AM

See More Questions

a. i. Sketch the graph of y = e x 5, showing the exact coordinates of any points where the graph meets the coordinate axes. ii. Find the range of values of k for which the equation e x 5 = k has no...
Given that a. Sketch the graph of y = f(x) 2 and state the equations of the asymptotes. b. Find the coordinates of the point where the curve y = f(x) 2 cuts a coordinate axis. c. Sketch the graph...
a. On a copy of grid to the right, sketch the graph of y = |(x - 2) (x + 3)| for -5 x 4, and state the coordinates of the points where the curve meets the coordinate axes. b. Find the coordinate of...
How to find the expected utility of profit under each alternative crop Table 1. Annual Returns to Cropping Alternatives ($ profit / acre) Outcome Worst Bad OK Good Great Probability 0.1 0.2 0.4 0.2...
Allen Baize owned a Kentucky lumber yard and sawmill known as Greenville Log and Lumber Co. Baize hired Darrell Hargis on an independent contractor basis to haul logs to and from Greenville and...
The U.S. government now lists 1,879 endangered or threatened species of animals and plants.
When does a premium exist on an FX forward? A discount!
The Riverview Hotel is a deluxe four-star establishment. Late on Friday, it had 20 of its 300 rooms available when the desk clerk received a call from the Pines Hotel. The Pines Hotel made a booking...
1- Beginning inventory, purchases, and sales for Item MMM8 are as follows: November 1 Inventory 104 16 9 Sale 91 16 Purchase 132 4 25 Sale 82 Assuming a perpetual inventory system and using the...
You have a 9 9 grid of squares, each of which can be colored red or blue. The grid is initially colored all blue, but you can change the color of any square any number of times. Imagining the grid...
Given that x 2 + 2x + 3 (x + a) 2 + b, a. find the value of the constants a and b. b. Sketch the graph of y = x 2 + 2x + 3, indicating clearly the coordinates of any intersections with the coordinate...
Given that x 2 + 10x + 36 (x + a) 2 + b, where a and b are constants, a. Find the value of a and the value of b. b. Hence show that the equation x 2 + 10x + 36 = 0 has no real roots. The equation x 2...
A certain flow field has the velocity vector \(\mathbf{V}=\frac{-2 x y z}{\left(x^{2}+y^{2} ight)^{2}} \mathbf{i}+\frac{\left(x^{2}-y^{2} ight) z}{\left(x^{2}+y^{2} ight)^{2}}...
1. How can the use of MRP contribute to profitability? 2. What are some of the unforeseen costs of ERP implementation? Discuss.
The COVID-19 pandemic resulted in strains on the healthcare supply chain. Discuss why supply chain management (SCM) is important to healthcare organizations. Furthermore, explain how healthcare...
Financial reporting quality relates to the quality of the information regarding the financial wellbeing of a firm that is contained in financial reports, including note disclosures. The quality of...
Exercises: Situational questions. Each answer must be supported by a legal basis. 1. What is the difference when an employee was dismissed for just cause than he was dismissed for an authorized...
In international trade, what is the difference between a contracted agent in a foreign country and a contracted distributor?What are some of the key issues that can arise in the relationship between...
Develop an understanding about "IT Systems Controls and Data Recovery" respond to the following: Evaluate the two major approaches for testing IT system controls. Of the two approaches, give your...
An Atomic Energy Commission nuclear facility was established in Hanford, Washington, in 1943. Over the years, a significant amount of strontium 90 and cesium 137 leaked into the Columbia River. In a...
Find the particular solution to the differential equation dy/dx = cos 2 y + cos 2x cos 2 y , with boundary condition y = /4 at x = /4. Give your answer in the form tan y = f(x).
Using a suitable trigonometric substitution for x, find xP zx - I/\zxz
Given that a. Find the value of x and the value of y when dy/dx = 0. b. Show that the value of y which you found is a minimum. The finite region R is bounded by the curve with equation y = x 3/2 +...
Q2R. on account for each depreciable asset. During 2024, Jane VIIS nsactions.) i More Info Apr. 1 Purchased office equipment. 5111,000. Paid 581,000 cash and financed the remainder Jan. 1 with a note...
The rate of return on Cherry Jalopies, Inc., stock over the last five years was 14 percent, 11 percent, 4 percent, 3 percent, and 7 percent. What is the geometric return for Cherry Jalopies, Inc.?
U.S. GAAP specifies all of the following characteristics of variable interest entities except: A. Equity holders hold less than 5% of the entitys voting stock. B. Equity holders do not have voting...

a. Sketch the graph of y= 1/x 2 4, showing clearly the coordinates of the points where

Question:

y (x + k)² - 4

Step by Step Answer:

a To sketch the graph of y 1x2 4 and find the coordinates of the points where the curve crosses ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions