1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it true that (i) f(x) =f(-x)? (ii) f(x+1) = f(x) +f(1)? (iii) f(2x) = 2f(x)?
1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it true that (i) f(x) =f(-x)? (ii) f(x+1) = f(x) +f(1)? (iii) f(2x) = 2f(x)?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Question
![SM
1. Let f(x) = ²+1.
(a) Compute f(0), ƒ(-1). ƒ(1/2), and f(/2).
(b) For what values of x is it true that
(i) f(x) =f(-x)?
(ii) f(x+ 1)
=f(x) +f(1)?
(iii) ƒ(2x)
2f (x)?
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04536e59-763c-440c-af8f-4a3fc9711a35%2F5468da1d-64a8-48ae-8bdd-be579ae5f6c5%2Fcq7v4d9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SM
1. Let f(x) = ²+1.
(a) Compute f(0), ƒ(-1). ƒ(1/2), and f(/2).
(b) For what values of x is it true that
(i) f(x) =f(-x)?
(ii) f(x+ 1)
=f(x) +f(1)?
(iii) ƒ(2x)
2f (x)?
=
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