Consider the function U(x)=x√√1-x²/a², where a > 0. Q3.1. What is the domain of the function U(x) (i.e., where it is defined)? Q3.2. Determine whether the function U(x) is odd, even, or neither. Q3.3. Plot function U(x) setting a = 1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.2: Zeros Of Linear Fumctions
Problem 53PFA
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Consider the function
U(x)=x√(1-x²/a², where a > 0.
Q3.1. What is the domain of the function U(x) (i.e., where it is defined)?
Q3.2. Determine whether the function U(x) is odd, even, or neither.
Q3.3. Plot function U(x) setting a = 1.
Q3.4. Find the critical points of this function and determine its nature.
Transcribed Image Text:Consider the function U(x)=x√(1-x²/a², where a > 0. Q3.1. What is the domain of the function U(x) (i.e., where it is defined)? Q3.2. Determine whether the function U(x) is odd, even, or neither. Q3.3. Plot function U(x) setting a = 1. Q3.4. Find the critical points of this function and determine its nature.
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