Which of the following functions from R to R are one-to-one, which are onto, and which have inverse functions? (a) f(x) = |x| (b) f(x) = x²+4 (c) f(x) = x³+6 (d) f(x) = x+|x (e) f(x) = x(x-2)(x+2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
Question
Which of the following functions from R to R are one-to-one, which are onto, and
which have inverse functions?
(a) f(x) = |x|
(b) f(x) = x²+4
(c) f(x) = x³+6
(d) f(x) = x+|x
(e) f(x) = x(x-2)(x+2)
Transcribed Image Text:Which of the following functions from R to R are one-to-one, which are onto, and which have inverse functions? (a) f(x) = |x| (b) f(x) = x²+4 (c) f(x) = x³+6 (d) f(x) = x+|x (e) f(x) = x(x-2)(x+2)
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