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A) Find the natural domain and graph the functions for the following: 1) y = +1 2) y = tan (x-3) B) Using the (L' Hopital Rule), solve the following limits: 1) lim 2-3 x-0 II) 2) lim(-x) cotx X-R C) Answer the following: 1- Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation for the following: y =(x + 1) + 5, Down 5 and Right 1. 2- Give an equation for the stretched or compressed graph for the following: I) y = 1- x³, stretched horizontally by factor 2. y = √4x², compress horizontally by factor 2.

A) Find the natural domain and graph the functions for the following: 1) y = +1 2) y = tan (x-3) B) Using the (L' Hopital Rule), solve the following limits: 1) lim 2-3 x-0 II) 2) lim(-x) cotx X-R C) Answer the following: 1- Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation for the following: y =(x + 1) + 5, Down 5 and Right 1. 2- Give an equation for the stretched or compressed graph for the following: I) y = 1- x³, stretched horizontally by factor 2. y = √4x², compress horizontally by factor 2.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A) Find the natural domain and graph the functions for the following: 1) y=+ 2) y = tan (x - ²) B) Using the (L' Hopital Rule), solve the following limits: 1) lim 2-3x x-0 2) lim(7 – x) cotx X- C) Answer the following: 1- Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation for the following: y =(x + 1) + 5, Down 5 and Right 1. 2- Give an equation for the stretched or compressed graph for the following: I) y = 1- x³, stretched horizontally by factor 2. II) y = √4x², compress horizontally by factor 2.
Transcribed Image Text:A) Find the natural domain and graph the functions for the following: 1) y=+ 2) y = tan (x - ²) B) Using the (L' Hopital Rule), solve the following limits: 1) lim 2-3x x-0 2) lim(7 – x) cotx X- C) Answer the following: 1- Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation for the following: y =(x + 1) + 5, Down 5 and Right 1. 2- Give an equation for the stretched or compressed graph for the following: I) y = 1- x³, stretched horizontally by factor 2. II) y = √4x², compress horizontally by factor 2.
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