(1) The graphs of two functions f'and g are given below. Use these graphs to find the following information. Note. In the graphs below, the functions continue in the ways you expect off the edges of the graph. For example, the function f(x) keeps approaching the x-axis (without hitting it) as x goes to infinity. The graph of y = f(x). The graph of y = g(x).«“ (a) Find lim flg (x)). Briefly explain your answer. Distinguish between 100 and DNE (does not exist) if applicable.“ (b) Find lim g(Ax)). Briefly explain your answer. Distinguish between ±00 and DNE (does not exist) if applicable. (c) Isf• g continuous at x = 0? Briefly explain your answer.
(1) The graphs of two functions f'and g are given below. Use these graphs to find the following information. Note. In the graphs below, the functions continue in the ways you expect off the edges of the graph. For example, the function f(x) keeps approaching the x-axis (without hitting it) as x goes to infinity. The graph of y = f(x). The graph of y = g(x).«“ (a) Find lim flg (x)). Briefly explain your answer. Distinguish between 100 and DNE (does not exist) if applicable.“ (b) Find lim g(Ax)). Briefly explain your answer. Distinguish between ±00 and DNE (does not exist) if applicable. (c) Isf• g continuous at x = 0? Briefly explain your answer.
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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Transcribed Image Text:(1) The graphs of two functions fand g are given below. Use these graphs to find the following information. Note. In
the graphs below, the functions continue in the ways you expect off the edges of the graph. For example, the
function f(x) keeps approaching the x-axis (without hitting it) as x goes to infinity.e
The graph of y = fx).
The graph of y = g (x).
(a) Find lim flg (x)). x-0
Briefly explain your answer. Distinguish between ±00 and DNE (does not exist) if applicable.
(b) Find lim gAx)). x-00
Briefly explain your answer. Distinguish between +00 and DNE (does not exist) if applicable.
(c) Is f• g continuous at x = 0?
Briefly explain your answer.e
3
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