1. Sketch the graph of the function f(x)= (x+1) a. State the domain of f(x) in interval notation. b. Determine the x-intercept(s), if any exist. c. Find all asymptotes, if any exist. (If none, explain why.) i. vertical ii. horizontal iii. slant d. Find and simplify f(x). Also, state the domain of f(x) in interval notation. e. Find the intervals of increase and decrease and the local maximum and minimum values. (Write answers using interval notation and ordered pairs. Justify your answer with a number line or sign chart.) increasing decreasing local maximum(s) local minimum(s) f. Find and simplify f(x). Also, state the domain of f(x) in interval notation.

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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1. Sketch the graph of the function f(x)=.
(x+1)
a. State the domain of f(x) in interval notation. b. Determine the x-intercept(s), if any exist.
c. Find all asymptotes, if any exist. (If none, explain why.)
i. vertical
ii. horizontal
iii. slant
d. Find and simplify f(x). Also, state the domain of f(x) in interval notation.
e. Find the intervals of increase and decrease and the local maximum and minimum values.
(Write answers using interval notation and ordered pairs. Justify your answer with a number line or sign chart.)
increasing
decreasing
local maximum(s).
local minimum(s)
f. Find and simplify f(x). Also, state the domain of f(x) in interval notation.
Transcribed Image Text:1. Sketch the graph of the function f(x)=. (x+1) a. State the domain of f(x) in interval notation. b. Determine the x-intercept(s), if any exist. c. Find all asymptotes, if any exist. (If none, explain why.) i. vertical ii. horizontal iii. slant d. Find and simplify f(x). Also, state the domain of f(x) in interval notation. e. Find the intervals of increase and decrease and the local maximum and minimum values. (Write answers using interval notation and ordered pairs. Justify your answer with a number line or sign chart.) increasing decreasing local maximum(s). local minimum(s) f. Find and simplify f(x). Also, state the domain of f(x) in interval notation.
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