(C) Find the maximum domain and range of the function g(x) = 1 – |x|, where x is to be a real number.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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solve c parts
3) (a) Consider the statement "Every relation is a function". Is this statement true? Justify your
answer.
(b) Is f = {(1,2);(2,5), (3,8), (4,11)} a function? Justify your answer. If this is described by the
formula f (x) = ax + b, then what values should be assigned to a and b?
() Find the maximum domain and range of the function g(x) = 1 - Įxl, where x is to be a
real number.
(d) Show that the function defined by h: N → N: h(x) = 2*, Vx € N is one-to-one but not onto.
Now consider the function defined by j: R → R*: j(x) = 2*,vx € R. Is j bijective? Justify
%3D
your answer. If so, find j-1.
Transcribed Image Text:3) (a) Consider the statement "Every relation is a function". Is this statement true? Justify your answer. (b) Is f = {(1,2);(2,5), (3,8), (4,11)} a function? Justify your answer. If this is described by the formula f (x) = ax + b, then what values should be assigned to a and b? () Find the maximum domain and range of the function g(x) = 1 - Įxl, where x is to be a real number. (d) Show that the function defined by h: N → N: h(x) = 2*, Vx € N is one-to-one but not onto. Now consider the function defined by j: R → R*: j(x) = 2*,vx € R. Is j bijective? Justify %3D your answer. If so, find j-1.
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