Let f be defined in an open interval that contains a=3 and assume that all x, 2x+6 less than or equal to f(x) less than or equal to x^2-4x+15 What should be f(3) so that f is continuous at a=3.

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...
Question

Let f be defined in an open interval that contains a=3 and assume that all x, 

                   2x+6 less than or equal to f(x) less than or equal to x^2-4x+15

What should be f(3) so that f is continuous at a=3.

Expert Solution
Given

f be defined in an open interval that contains a=3 and assume that all x,2x+6f(x)x2-4x+15

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