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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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)?
=
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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