1. Let f(x) = 3x² + 1, g(x) = 2x, draw the following functions %3D (a) ƒ (x – 2) (b) g(x) + 3 (c) –f(x)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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1. Let f(x) = 3x² + 1, g(x) = 2x, draw the following functions
(a) f(x – 2)
(b) g(x) + 3
(c) –f(x)
(d) g(-x)
(e) g(|x|)
[Note] Draw the functions by hand (not by a computer program). Before you start, try to
analyze each function first, i.e., what it SHOULD look like. Then compare your expectation with
your drawing. For this question, only the final graphs need to be submitted and no steps or
analysis needs to be provided in your submission.
Transcribed Image Text:1. Let f(x) = 3x² + 1, g(x) = 2x, draw the following functions (a) f(x – 2) (b) g(x) + 3 (c) –f(x) (d) g(-x) (e) g(|x|) [Note] Draw the functions by hand (not by a computer program). Before you start, try to analyze each function first, i.e., what it SHOULD look like. Then compare your expectation with your drawing. For this question, only the final graphs need to be submitted and no steps or analysis needs to be provided in your submission.
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