2. Let h(x) be the relation graphed below:(-2, 0)(-7,-4)YA(-4,-4)(0,4)(2,0)(4,-4)X(a) Is h(x) a function?(b) What is h(4)? What is h(-6)?(c) What is the domain of h(x)? What is therange of h(x) ?

Answered: Image /qna-images/answer/9a6b5f1d-b4e9-463b-b502-b0fee4352d31.jpg

Answered: 2. Let h(x) be the relation graphed…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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• -4 -3 -1 4- 3++ 2- 1 -1- 'y -24 -3+ 1 2 3 (a) Write a set of ordered pairs (x, y) that defines the relation. (b) Write the domain of the relation. (c) Write the range of the relation. (d) Determine if the relation defines y as a function of x.
5- -5 5 -5- Determine the values of a, b, c, and d so the function (a - a) (x + 1) (x + b) (x- c) (x + d) (x + 3) f (x) = correctly model the graph. (a, b, c, and d are all whole numbers) a = 5,
2. What rule can you use to determine, from the graph of a relation, whether the relation is a function? Graph each relation and determine which are functions. a) {(-2, 1), (1, 1), (0, 0), d) x² + y² = 1 (1, – 1), (1, – 2), (2, – 2)} b) y = 4 – 3x 1 e) у c) y = (x – 2)² + 4 f) y = Vx
Sketch a graph of f(x) = 8+ 6+ 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 -2 -3+ -4 -5+ -6 -7 -8+ (-2x+3 if x 2 1 2 3 4 5 6 7 8
3. (3 points each) In the functions given, f(x) = x3+2x2 ; g(x)=3x²-1 Find f + g,f – g. fg,and L and state their domains (after the operation) (a) f +g Result: Domain: (b) f – g Result: Domain: (c) fg Result: Domain: Result: Domain: Property of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly prohibited. 47
1. Sketch the graph of f(x) = if -5
5-determine whether the relation represents Y as a function of X if so list its domain and range

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2. Let h(x) be the relation graphed below: (-2, 0) (-7,-4) (-4,-4) (0,4) (2,0) (4,-4) (a) Is h(x) a function? (b) What is h(4)? What is h(- 6)? (c) What is the domain of h(x)? What is the range of h(x)?