Use the guidelines of this section to sketch the curve. In guideline D find an equation of
Question:
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote.
y = –2x2 + 5x – 1/2x – 1
Data from section 4.5
Transcribed Image Text:
GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have an asymptote or possess symmetry.) But the guidelines provide all the information you need to make a sketch that displays the most important aspects of the function. A. Domain It's often useful to start by determining the domain D of f, that is, the set of values of x for which f(x) is defined. B. Intercepts The y-intercept is f(0) and this tells us where the curve intersects the y-axis. To find the x-intercepts, we set y = 0 and solve for x. (You can omit this step if the equation is difficult to solve.) C. Symmetry (1) If f(-x) = f(x) for all x in D, that is, the equation of the curve is unchanged when x is replaced by -x, then f is an even function and the curve is symmetric about the y-axis. This means that our work is cut in half. If we know what the curve looks like for x > 0, then we need only reflect about the y-axis to obtain the complete curve [see Figure 3(a)]. Here are some examples: y = x²y = x¹, y = |x, and y = cos x. (ii) If f(-x) = -f(x) for all x in D, then f is an odd function and the curve is symmetric about the origin. Again we can obtain the complete curve if we know what it looks like for x > 0. [Rotate 180° about the origin; see Figure 3(b).] Some simple examples of odd functions are y = x, y = x³, y = x³, and y = sin.x. (iii) If f(x + p) = f(x) for all x in D, where p is a positive constant, then f is called a periodic function and the smallest such number p is called the period. For instance, y = sin x has period 27 and y = tan x has period . If we know what the graph looks like in an interval of length p, then we can use translation to sketch the entire graph (see Figure 4).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
The graph of the equatio...View the full answer
Answered By
Ali Khawaja
my expertise are as follows: financial accounting : - journal entries - financial statements including balance sheet, profit & loss account, cash flow statement & statement of changes in equity -consolidated statement of financial position. -ratio analysis -depreciation methods -accounting concepts -understanding and application of all international financial reporting standards (ifrs) -international accounting standards (ias) -etc business analysis : -business strategy -strategic choices -business processes -e-business -e-marketing -project management -finance -hrm financial management : -project appraisal -capital budgeting -net present value (npv) -internal rate of return (irr) -net present value(npv) -payback period -strategic position -strategic choices -information technology -project management -finance -human resource management auditing: -internal audit -external audit -substantive procedures -analytic procedures -designing and assessment of internal controls -developing the flow charts & data flow diagrams -audit reports -engagement letter -materiality economics: -micro -macro -game theory -econometric -mathematical application in economics -empirical macroeconomics -international trade -international political economy -monetary theory and policy -public economics ,business law, and all regarding commerce
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote.
-
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote. y = (x + 1) 3 /(x 1) 2 Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The...
-
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote. xy = x 2 + 4 Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following...
-
1). Cody Jenkins and Lacey Tanner formed a partnership to provide landscaping services. Jenkins and Tanner shared profits and losses equally. After all the tangible assets have been adjusted to...
-
For the network in Problem 9-4, determine the earliest start and finish times, latest start and finish times, and slack for each activity. Indicate how the critical path would be determined from this...
-
Kumar sold 700 television sets to one of its largest customers, Nava, in Venezuela. The contract was on CIF terms, Maracaibo. However, they agreed that Nava would not pay Kumar until Nava actually...
-
You have received a job offer from a startup company headed by \(\mathrm{PhD}\) chemists to be their chief (and only) process engineer, responsible to move their process for a novel solid adhesive...
-
The Lakeshore Hotels guest-days of occupancy and custodial supplies expense over the last seven months were; Guest-days is a measure of the overall activity at the hotel. For example, a guest who...
-
Complete the ARM assembly language program below so that it implements the following C++ statements. const int size = 12; int x[size] (12, 1, -45, 1232, 44, -44, 27, -14, 3, 100, -12478, 4581}; int...
-
Use the guidelines of this section to sketch the curve. y = tan 1 (x 1/x + 1) Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a...
-
Find f. f"(x) = 2 + cos x, f(0) = 1, f(/2) = 0
-
Equilibrium we say an object is in equilibrium if all the forces on it balance (add up to zero). Figure 1.40 shows a beam weighing 124 N that is supported in equilibrium by a l00.0-N pull and a force...
-
Brayden bought a car for $33,000 by making a downvpayment of $6,930 and weekly payments at the end of every week for 5 years. Interest is 1.48% compounded annually. 1. What are the weekly payments,...
-
How does structural functionalism view the evolution of social structures over time, and what factors are considered when assessing the adaptability and resilience of societal systems in the face of...
-
In May 2022, it was reported that Hockey Canadathe governing body for the sport of ice hockey in Canadahad paid a settlement to a woman who alleged that she was the victim of a sexual assault...
-
You have been invited to meet with the senior management team to convince them to set up a PMO. You hold a workshop to educate them about the types of PMOs , including the benefits and the risks of...
-
Find The x-intercept of the graph of f(x)=3log(x+5)-2
-
Explain what is meant by market efficiency. What are the characteristics of an efficient market?
-
At 31 December 20X9, the end of the annual reporting period, the accounts of Huron Company showed the following: a. Sales revenue for 20X9, $ 2,950,000, of which one- quarter was on credit. b....
-
Suppose an object moves along a straight line with position f(t) at time t. Write an expression for the instantaneous velocity of the object at time t = a. How can you interpret this velocity in...
-
Find the limit. r2 3r 4 lim 4r2 +r - 3 r--1
-
Guess the value of the limit by evaluating the function f(x) = x 2 /2 x for x 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, and 100. Then use a graph of f to support your guess. lim 00-x 2*
-
The Welding Department of Ivanhoe Company has the following production and manufacturing cost data for February 2025. All materials are added at the beginning of the process. Manufacturing Costs...
-
The following facts apply to the pension plan of Vaughn Inc. for the year 2020. Plan assets, January 1, 2020 $536,500 Projected benefit obligation, January 1, 2020 536,500 Settlement rate 8% Service...
-
Ahmed Company has a predetermined overhead rate of 80% of direct labor cost. During May, Ahmed incurred $64,000 of factory labor costs, of which $62,000 is direct labor and $2,000 is indirect. Actual...
Study smarter with the SolutionInn App